To find out how much farther Neptune is from Earth than Mars, we subtract the average distance from Earth to Mars from the average 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:
\[ 4.3514 \times 10^9 \text{ km} - 2.25 \times 10^8 \text{ km} \]
To make the subtraction easier, we can express \( 2.25 \times 10^8 \) km in terms of \( 10^9 \):
\[ 2.25 \times 10^8 \text{ km} = 0.225 \times 10^9 \text{ km} \]
Now, we can rewrite the subtraction:
\[ 4.3514 \times 10^9 \text{ km} - 0.225 \times 10^9 \text{ km} = (4.3514 - 0.225) \times 10^9 \text{ km} \]
Calculating \( 4.3514 - 0.225 \):
\[ 4.3514 - 0.225 = 4.1264 \]
Therefore, the distance that Neptune is farther from Earth than Mars is:
\[ 4.1264 \times 10^9 \text{ km} \]
This answer is already in scientific notation. Thus, the final answer is:
\[ \boxed{4.1264 \times 10^9} \text{ km} \]