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Finding the Fourth Proportional to 497,864,793.15, 746,797,189.73 and 497,864,793.15

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Solution

The fourth proportional to 497,864,793.15, 746,797,189.73 and 497,864,793.15 is: 746,797,189.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,864,793.15 : 746,797,189.73 = 497,864,793.15 : x
  2. Step 2: Convert to fraction form
    497,864,793.15/746,797,189.73 = 497,864,793.15/x
  3. Step 3: Cross multiply
    497,864,793.15x = 746,797,189.73 × 497,864,793.15
  4. Step 4: Simplify right side
    497,864,793.15x = 371,804,028,387,438,400
  5. Step 5: Solve for x
    x = 371,804,028,387,438,400/497,864,793.15
  6. Step 6: Final answer
    x = 746,797,189.73

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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.