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Finding the Fourth Proportional to 497,665,654.40, 746,498,481.60 and 449,292,713.60

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Solution

The fourth proportional to 497,665,654.40, 746,498,481.60 and 449,292,713.60 is: 673,939,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,665,654.40 : 746,498,481.60 = 449,292,713.60 : x
  2. Step 2: Convert to fraction form
    497,665,654.40/746,498,481.60 = 449,292,713.60/x
  3. Step 3: Cross multiply
    497,665,654.40x = 746,498,481.60 × 449,292,713.60
  4. Step 4: Simplify right side
    497,665,654.40x = 335,396,328,496,343,680
  5. Step 5: Solve for x
    x = 335,396,328,496,343,680/497,665,654.40
  6. Step 6: Final answer
    x = 673,939,070.40

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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.