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Finding the Fourth Proportional to 497,664,400.60, 746,496,600.90 and 467,406,429.40

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Solution

The fourth proportional to 497,664,400.60, 746,496,600.90 and 467,406,429.40 is: 701,109,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664,400.60 : 746,496,600.90 = 467,406,429.40 : x
  2. Step 2: Convert to fraction form
    497,664,400.60/746,496,600.90 = 467,406,429.40/x
  3. Step 3: Cross multiply
    497,664,400.60x = 746,496,600.90 × 467,406,429.40
  4. Step 4: Simplify right side
    497,664,400.60x = 348,917,310,785,905,792
  5. Step 5: Solve for x
    x = 348,917,310,785,905,792/497,664,400.60
  6. Step 6: Final answer
    x = 701,109,644.10

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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.