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Finding the Fourth Proportional to 274,509,301.20, 411,763,951.80 and 92,753,854.80

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Solution

The fourth proportional to 274,509,301.20, 411,763,951.80 and 92,753,854.80 is: 139,130,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,509,301.20 : 411,763,951.80 = 92,753,854.80 : x
  2. Step 2: Convert to fraction form
    274,509,301.20/411,763,951.80 = 92,753,854.80/x
  3. Step 3: Cross multiply
    274,509,301.20x = 411,763,951.80 × 92,753,854.80
  4. Step 4: Simplify right side
    274,509,301.20x = 38,192,693,797,131,400
  5. Step 5: Solve for x
    x = 38,192,693,797,131,400/274,509,301.20
  6. Step 6: Final answer
    x = 139,130,782.20

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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.