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Finding the Fourth Proportional to 497,991,451.60, 746,987,177.40 and 325,998,773.20

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Solution

The fourth proportional to 497,991,451.60, 746,987,177.40 and 325,998,773.20 is: 488,998,159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,991,451.60 : 746,987,177.40 = 325,998,773.20 : x
  2. Step 2: Convert to fraction form
    497,991,451.60/746,987,177.40 = 325,998,773.20/x
  3. Step 3: Cross multiply
    497,991,451.60x = 746,987,177.40 × 325,998,773.20
  4. Step 4: Simplify right side
    497,991,451.60x = 243,516,903,428,530,752
  5. Step 5: Solve for x
    x = 243,516,903,428,530,752/497,991,451.60
  6. Step 6: Final answer
    x = 488,998,159.80

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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.