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Finding the Fourth Proportional to 437,187,863.60, 656,033,737.80 and 164,754,148.40

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Solution

The fourth proportional to 437,187,863.60, 656,033,737.80 and 164,754,148.40 is: 247,226,167.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,187,863.60 : 656,033,737.80 = 164,754,148.40 : x
  2. Step 2: Convert to fraction form
    437,187,863.60/656,033,737.80 = 164,754,148.40/x
  3. Step 3: Cross multiply
    437,187,863.60x = 656,033,737.80 × 164,754,148.40
  4. Step 4: Simplify right side
    437,187,863.60x = 108,084,279,792,907,888
  5. Step 5: Solve for x
    x = 108,084,279,792,907,888/437,187,863.60
  6. Step 6: Final answer
    x = 247,226,167.04

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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.