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Finding the Fourth Proportional to 498,224,936.40, 747,337,404.60 and 498,224,936.40

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Solution

The fourth proportional to 498,224,936.40, 747,337,404.60 and 498,224,936.40 is: 747,337,404.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,224,936.40 : 747,337,404.60 = 498,224,936.40 : x
  2. Step 2: Convert to fraction form
    498,224,936.40/747,337,404.60 = 498,224,936.40/x
  3. Step 3: Cross multiply
    498,224,936.40x = 747,337,404.60 × 498,224,936.40
  4. Step 4: Simplify right side
    498,224,936.40x = 372,342,130,876,176,064
  5. Step 5: Solve for x
    x = 372,342,130,876,176,064/498,224,936.40
  6. Step 6: Final answer
    x = 747,337,404.60

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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.