Finding the Fourth Proportional to 2,475,729,823,744, 3,715,291,053,500 and 864,063,704,508
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Solution
The fourth proportional to 2,475,729,823,744, 3,715,291,053,500 and 864,063,704,508 is: 1,296,687,594,996.87
Step by Step Solution
- Step 1: Write the proportion equation
2,475,729,823,744 : 3,715,291,053,500 = 864,063,704,508 : x - Step 2: Convert to fraction form
2,475,729,823,744/3,715,291,053,500 = 864,063,704,508/x - Step 3: Cross multiply
2,475,729,823,744x = 3,715,291,053,500 × 864,063,704,508 - Step 4: Simplify right side
2,475,729,823,744x = 3,210,248,151,012,640,152,354,816 - Step 5: Solve for x
x = 3,210,248,151,012,640,152,354,816/2,475,729,823,744 - Step 6: Final answer
x = 1,296,687,594,996.87
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.