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Finding the Fourth Proportional to 497,665,706.80, 746,498,560.20 and 487,048,874.80

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Solution

The fourth proportional to 497,665,706.80, 746,498,560.20 and 487,048,874.80 is: 730,573,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,665,706.80 : 746,498,560.20 = 487,048,874.80 : x
  2. Step 2: Convert to fraction form
    497,665,706.80/746,498,560.20 = 487,048,874.80/x
  3. Step 3: Cross multiply
    497,665,706.80x = 746,498,560.20 × 487,048,874.80
  4. Step 4: Simplify right side
    497,665,706.80x = 363,581,283,785,230,080
  5. Step 5: Solve for x
    x = 363,581,283,785,230,080/497,665,706.80
  6. Step 6: Final answer
    x = 730,573,312.20

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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.