1. **State the problem:** We need to determine which of the given expressions are equal to 264,740,000,000. 2. **Convert the number to scientific notation:** $$264,740,000,000 = 2.6474 \times 10^{11}$$ 3. **Check each option:** - i. $26.474 \times 10^{11} = 2.6474 \times 10^{12}$ (because $26.474 = 2.6474 \times 10^1$), which is $10$ times larger than $2.6474 \times 10^{11}$, so **not equal**. - ii. $2.6474 \times 10^{14}$ is $10^3$ times larger than $2.6474 \times 10^{11}$, so **not equal**. - iii. $26.474 \times 10^{7} = 2.6474 \times 10^{8}$, which is much smaller, so **not equal**. - iv. "two hundred and sixty-four billion, seven hundred and forty million" is exactly $264,740,000,000$, so **equal**. - v. "two hundred and sixty-four million, seven hundred and forty thousand" is $264,740,000 + 740,000 = 264,740,000$, which is much smaller, so **not equal**. 4. **Final answer:** Only option iv is equal to 264,740,000,000. **Note:** The user initially checked options i and iv, but i is incorrect.