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Finding the Fourth Proportional to 534,303,007.80, 801,454,511.70 and 413,221,356.60

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Solution

The fourth proportional to 534,303,007.80, 801,454,511.70 and 413,221,356.60 is: 619,832,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,303,007.80 : 801,454,511.70 = 413,221,356.60 : x
  2. Step 2: Convert to fraction form
    534,303,007.80/801,454,511.70 = 413,221,356.60/x
  3. Step 3: Cross multiply
    534,303,007.80x = 801,454,511.70 × 413,221,356.60
  4. Step 4: Simplify right side
    534,303,007.80x = 331,178,120,577,864,640
  5. Step 5: Solve for x
    x = 331,178,120,577,864,640/534,303,007.80
  6. Step 6: Final answer
    x = 619,832,034.90

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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.