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Finding the Fourth Proportional to 419,906,289.20, 629,859,433.80 and 267,229,194.80

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Solution

The fourth proportional to 419,906,289.20, 629,859,433.80 and 267,229,194.80 is: 400,843,792.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,906,289.20 : 629,859,433.80 = 267,229,194.80 : x
  2. Step 2: Convert to fraction form
    419,906,289.20/629,859,433.80 = 267,229,194.80/x
  3. Step 3: Cross multiply
    419,906,289.20x = 629,859,433.80 × 267,229,194.80
  4. Step 4: Simplify right side
    419,906,289.20x = 168,316,829,331,557,888
  5. Step 5: Solve for x
    x = 168,316,829,331,557,888/419,906,289.20
  6. Step 6: Final answer
    x = 400,843,792.20

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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.