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Finding the Fourth Proportional to 442,368,375.20, 663,552,562.80 and 415,472,400.80

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Solution

The fourth proportional to 442,368,375.20, 663,552,562.80 and 415,472,400.80 is: 623,208,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,368,375.20 : 663,552,562.80 = 415,472,400.80 : x
  2. Step 2: Convert to fraction form
    442,368,375.20/663,552,562.80 = 415,472,400.80/x
  3. Step 3: Cross multiply
    442,368,375.20x = 663,552,562.80 × 415,472,400.80
  4. Step 4: Simplify right side
    442,368,375.20x = 275,687,776,323,508,768
  5. Step 5: Solve for x
    x = 275,687,776,323,508,768/442,368,375.20
  6. Step 6: Final answer
    x = 623,208,601.20

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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.