Final answer:
The student's question asks for a number with specific place values for the digits '7' and '4', with the remaining digits being '5's. By allocating the place values properly, the number in question is determined to be 7,705,440.
Step-by-step explanation:
The student's question involves understanding the place value of digits in a multi-digit number. Given the description, one of the '7's has a place value of 700,000, and the other '7' has a place value ten times greater, meaning it's worth 7,000,000. One of the '4's is worth 4 x 100, which is 400, and the other '4' is worth 1/10 of this, so it's equal to 40. The remaining digits are '5's, which have place values according to their positions in the number.
To construct the number, we align the place values accordingly: The '7' worth 7,000,000 is the highest place value, followed by the '7' worth 700,000. Then we fill in the rest of the number with '5's until we need to place the '4's. The '4' worth 400 is positioned next followed by the '4' worth 40. So, the number is 7,705,440.