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Finding the Fourth Proportional to 90,438,098,793.90, 135,657,148,190.85 and 90,438,098,793.90

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Solution

The fourth proportional to 90,438,098,793.90, 135,657,148,190.85 and 90,438,098,793.90 is: 135,657,148,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,438,098,793.90 : 135,657,148,190.85 = 90,438,098,793.90 : x
  2. Step 2: Convert to fraction form
    90,438,098,793.90/135,657,148,190.85 = 90,438,098,793.90/x
  3. Step 3: Cross multiply
    90,438,098,793.90x = 135,657,148,190.85 × 90,438,098,793.90
  4. Step 4: Simplify right side
    90,438,098,793.90x = 12,268,574,570,182,824,951,808
  5. Step 5: Solve for x
    x = 12,268,574,570,182,824,951,808/90,438,098,793.90
  6. Step 6: Final answer
    x = 135,657,148,190.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.