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Finding the Fourth Proportional to 616,220,645.20, 850,471,690.80 and 381,346,948.96

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Solution

The fourth proportional to 616,220,645.20, 850,471,690.80 and 381,346,948.96 is: 526,312,753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,220,645.20 : 850,471,690.80 = 381,346,948.96 : x
  2. Step 2: Convert to fraction form
    616,220,645.20/850,471,690.80 = 381,346,948.96/x
  3. Step 3: Cross multiply
    616,220,645.20x = 850,471,690.80 × 381,346,948.96
  4. Step 4: Simplify right side
    616,220,645.20x = 324,324,784,463,432,448
  5. Step 5: Solve for x
    x = 324,324,784,463,432,448/616,220,645.20
  6. Step 6: Final answer
    x = 526,312,753.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.