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To determine how many times larger the Indian Ocean is compared to Colorado, we will divide the area of the Indian Ocean by the area of Colorado.

### Given:
- Area of Colorado: \( 1.2 \times 10^5 \) square miles
- Area of the Indian Ocean: \( 4.8 \times 10^7 \) square miles

The ratio is:

\[
\text{Ratio} = \frac{4.8 \times 10^7}{1.2 \times 10^5}
\]

### Calculation:

\[
\text{Ratio} = \frac{4.8}{1.2} \times \frac{10^7}{10^5} = 4 \times 10^2 = 400
\]

Thus, the Indian Ocean is **400 times larger** than the state of Colorado.

Would you like further details or have any questions?

### Related Questions:
1. How would the calculation change if the area of Colorado were larger?
2. What is the surface area of other oceans compared to the Indian Ocean?
3. How can scientific notation simplify the comparison of large numbers?
4. What are some real-world applications of calculating such ratios?
5. How does the size of the Pacific Ocean compare to the Indian Ocean?

**Tip:** When comparing very large or very small numbers, scientific notation helps avoid dealing with lengthy digits and makes calculations easier.

The state of Colorado covers about 1.2 × 10^5 square miles. The Indian Ocean covers about 4.8 × 10^7 square miles. How many times larger than Colorado is the Indian Ocean?

Learn how to compare the size of the Indian Ocean (4.8 × 10^7 square miles) to the state of Colorado (1.2 × 10^5 square miles) using scientific notation and ratios. This problem demonstrates how to work with large numbers in scientific notation. Suitable for students in Grades 6-9.

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