The half-life of uranium-238 is given as years longer than that of uranium-235, which has a half-life of 700,000,000 years. If we denote the half-life of uranium-238 as \( x \), then we have:
\[ x = 700,000,000 + \text{years longer} \]
However, the information about "years longer" is missing from your question. It seems like you're looking for the half-life of uranium-238 but without knowing how many years longer it is than uranium-235, I cannot provide the answer directly.
If uranium-238 has a specified half-life in your options, the most commonly accepted half-life is approximately 4.468 billion years (or 4,468,000,000 years).
If we had to express this in decimal form while considering your answer options, we would convert it to scientific notation:
\[ 4,468,000,000 = 4.468 \times 10^{9} \]
But since this option does not match any of the listed answer choices, it could be that your question is asking for an approximation or specific format. Please provide the exact number of "years longer" for the best assistance.