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Finding the Fourth Proportional to 215,318,724.60, 322,978,086.90 and 100,527,468.60

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Solution

The fourth proportional to 215,318,724.60, 322,978,086.90 and 100,527,468.60 is: 150,791,202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,318,724.60 : 322,978,086.90 = 100,527,468.60 : x
  2. Step 2: Convert to fraction form
    215,318,724.60/322,978,086.90 = 100,527,468.60/x
  3. Step 3: Cross multiply
    215,318,724.60x = 322,978,086.90 × 100,527,468.60
  4. Step 4: Simplify right side
    215,318,724.60x = 32,468,169,489,327,816
  5. Step 5: Solve for x
    x = 32,468,169,489,327,816/215,318,724.60
  6. Step 6: Final answer
    x = 150,791,202.90

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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.