To find the half-life of uranium-238, we need to add the half-life of uranium-235 and the additional time given for uranium-238.
The half-life of uranium-235 is 700,000,000 years, and the difference in half-life between uranium-238 and uranium-235 is given as \( 4.463 \times 10^{11} \) years.
First, we convert \( 4.463 \times 10^{11} \) into decimal form:
\[ 4.463 \times 10^{11} = 446,300,000,000 \text{ years} \]
Now, we calculate the half-life of uranium-238:
\[ \text{Half-life of uranium-238} = 700,000,000 \text{ years} + 446,300,000,000 \text{ years} \]
Doing the addition:
\[ 700,000,000 + 446,300,000,000 = 447,000,000,000 \text{ years} \]
Therefore, the half-life of uranium-238 is:
\[ \boxed{447,000,000,000} \]