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Finding the Fourth Proportional to 497,665,801.60, 746,498,702.40 and 417,044,233.60

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Solution

The fourth proportional to 497,665,801.60, 746,498,702.40 and 417,044,233.60 is: 625,566,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,665,801.60 : 746,498,702.40 = 417,044,233.60 : x
  2. Step 2: Convert to fraction form
    497,665,801.60/746,498,702.40 = 417,044,233.60/x
  3. Step 3: Cross multiply
    497,665,801.60x = 746,498,702.40 × 417,044,233.60
  4. Step 4: Simplify right side
    497,665,801.60x = 311,322,979,225,802,496
  5. Step 5: Solve for x
    x = 311,322,979,225,802,496/497,665,801.60
  6. Step 6: Final answer
    x = 625,566,350.40

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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.