The diameter of the observable universe is approximately 93 billion light-years, which can be converted to kilometers. The generally accepted diameter of our solar system (defined by the extent of the Oort Cloud) is about 2 light-years.

Steps to find how many times larger the observable universe is:

1. Convert light-years to kilometers:

   • 1 light-year ≈ 9.461 × 10¹² km.

2. Diameter of the observable universe:

   = 8.8 \times 10^{23} \, \text{km}$$

3. Diameter of the solar system:

   = 1.892 \times 10^{13} \, \text{km}$$

4. Ratio (how many times larger the observable universe is): $\frac{8.8 \times 10^{23} \, \text{km}}{1.892 \times 10^{13} \, \text{km}} \approx 4.65 \times 10^{10}$

Conclusion:

The diameter of the observable universe is about 46.5 billion times larger than the diameter of the solar system.

Would you like any further details on the steps or related questions?

Here are 5 related questions:

1. What is the definition of a light-year and how is it calculated?
2. How is the boundary of the solar system determined (Oort Cloud)?
3. What is the current estimation method for the size of the observable universe?
4. How do we measure distances between galaxies in terms of light-years?
5. Could the size of the observable universe change as technology advances?

Tip: The size of the observable universe is defined by the distance light has traveled since the Big Bang, not the actual size of the entire universe.