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Finding the Fourth Proportional to 275,861,662.40, 413,792,493.60 and 226,543,937.60

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Solution

The fourth proportional to 275,861,662.40, 413,792,493.60 and 226,543,937.60 is: 339,815,906.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,861,662.40 : 413,792,493.60 = 226,543,937.60 : x
  2. Step 2: Convert to fraction form
    275,861,662.40/413,792,493.60 = 226,543,937.60/x
  3. Step 3: Cross multiply
    275,861,662.40x = 413,792,493.60 × 226,543,937.60
  4. Step 4: Simplify right side
    275,861,662.40x = 93,742,180,849,466,800
  5. Step 5: Solve for x
    x = 93,742,180,849,466,800/275,861,662.40
  6. Step 6: Final answer
    x = 339,815,906.40

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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.