To compare the radius of Jupiter to the radius of Earth, we first need to calculate how much bigger Jupiter's radius is compared to Earth's radius.
- Radius of Earth: \( R_E = 3,959 \) miles
- Radius of Jupiter: \( R_J = 4.3441 \times 10^4 \) miles
Next, we need to find the difference between Jupiter's radius and Earth's radius:
\[ R_J - R_E = (4.3441 \times 10^4) - (3,959) \]
Before we perform the subtraction, let's express \( R_E \) in scientific notation:
\[ R_E = 3,959 = 3.959 \times 10^3 \]
Now we can perform the subtraction. To do this accurately, we need to convert \( R_E \) to a scale of millions or thousands that aligns with \( R_J \):
Finding a common format, we can convert \( R_E \) to:
\[ R_E = 3.959 \times 10^3 = 0.03959 \times 10^5 \]
Thus,
\[ R_J - R_E = (4.3441 \times 10^4) - (0.03959 \times 10^5) \]
Since \( 0.03959 \times 10^5 \) is equivalent to \( 3.959 \times 10^3 \):
\[ = (4.3441 \times 10^4) - (3.959 \times 10^3) \] \[ = (4.3441 \times 10^4) - (0.3959 \times 10^4) \] \[ = (4.3441 - 0.3959) \times 10^4 \] \[ = 3.9482 \times 10^4 \]
Now, we find that Jupiter's radius is larger than Earth's radius by:
\[ 3.9482 \times 10^4 \text{ miles} \]
Therefore, the answer is:
\[ \boxed{3.9482 \times 10^4} \text{ miles} \]