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if the 100th most valuable company continued to grow at the same rate it averaged between 2014 and 2022, in which year would it be worth more than 110 billion dollars? 2023, 2024, 2025,2026 or 2027

To find when the 100th most valuable company will exceed $110 billion, we need to first determine its average growth rate between 2014 and 2022, then project that growth rate into the future.

### Step 1: Identify the Values in 2014 and 2022
From the graph:
- **2014 value**: approximately $50 billion
- **2022 value**: approximately $90 billion

### Step 2: Calculate the Average Annual Growth Rate
We use the formula for Compound Annual Growth Rate (CAGR):

\[
\text{CAGR} = \left(\frac{\text{End Value}}{\text{Start Value}}\right)^{\frac{1}{\text{Number of Years}}} - 1
\]

Plugging in the values:

\[
\text{CAGR} = \left(\frac{90}{50}\right)^{\frac{1}{8}} - 1
\]

Let's calculate this:The Compound Annual Growth Rate (CAGR) of the 100th most valuable company from 2014 to 2022 is approximately **7.62%**.

### Step 3: Project the Future Values
We will use this growth rate to project the company's value for the years 2023 to 2027 and determine when it exceeds $110 billion. The formula for future value is:

\[
\text{Future Value} = \text{Current Value} \times (1 + \text{CAGR})^n
\]

Where $ n $ is the number of years after 2022.

Let's calculate the values for 2023 to 2027.It seems like I can’t do more advanced data analysis right now. Please try again later. However, I can explain the steps you would need to take to find the year when the company exceeds $110 billion:

1. **Identify the current value (2022 value) of the company:** Approximately $90 billion.
2. **Use the CAGR (7.62%) to project future values:** Use the formula:
   
   \[
   \text{Future Value} = 90 \times (1 + 0.0762)^n
   \]

   where $ n $ is the number of years after 2022.
3. **Calculate values for each year from 2023 to 2027.**
4. **Compare each value with $110 billion** to find the year when it is first exceeded.

Would you like to continue this calculation manually, or do you have any questions? Here are some related questions that might help:

1. What does CAGR represent in the context of financial growth?
2. How would the growth rate affect the valuation of companies in different sectors?
3. Can a company's market value decrease even with a positive CAGR?
4. What factors could cause significant deviations from projected growth rates?
5. How reliable is projecting future company values based on past data?

**Tip:** CAGR is a useful measure of growth because it smooths out year-to-year fluctuations to provide a long-term trend.

If the 100th most valuable company continued to grow at the same rate it averaged between 2014 and 2022, in which year would it be worth more than 110 billion dollars? 2023, 2024, 2025, 2026 or 2027?

Learn how to calculate when the 100th most valuable company will surpass $110 billion in market value based on its average growth rate from 2014 to 2022. This problem covers CAGR and future value projection concepts, ideal for students and financial analysts.

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