To find out how much farther Neptune is from Earth than Mars, we subtract the distance from Earth to Mars from the distance from Earth to Neptune.
Given:
- Distance from Earth to Mars = \(2.25 \times 10^8\) km
- Distance from Earth to Neptune = \(4.3514 \times 10^9\) km
Now, we perform the subtraction:
\[ D = \text{Distance from Earth to Neptune} - \text{Distance from Earth to Mars} \]
Substituting the values:
\[ D = (4.3514 \times 10^9) - (2.25 \times 10^8) \]
To perform the subtraction, we need to express both terms with the same exponent. The distance to Mars can be expressed as:
\[ 2.25 \times 10^8 = 0.225 \times 10^9 \]
Now, we can rewrite the equation for \(D\):
\[ D = (4.3514 \times 10^9) - (0.225 \times 10^9) \]
Now, we can subtract the coefficients:
\[ D = (4.3514 - 0.225) \times 10^9 \]
Calculating the coefficient:
\[ 4.3514 - 0.225 = 4.1264 \]
Thus,
\[ D = 4.1264 \times 10^9 \]
So, the distance from Earth to Neptune is \(4.1264 \times 10^9\) km farther than from Earth to Mars. Therefore, the final answer is:
\[ \boxed{4.1264 \times 10^9} \text{ km} \]
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