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Finding the Fourth Proportional to 57,764,016,007.20, 86,508,274,503.60 and 57,764,016,007.20

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Solution

The fourth proportional to 57,764,016,007.20, 86,508,274,503.60 and 57,764,016,007.20 is: 86,508,274,503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,764,016,007.20 : 86,508,274,503.60 = 57,764,016,007.20 : x
  2. Step 2: Convert to fraction form
    57,764,016,007.20/86,508,274,503.60 = 57,764,016,007.20/x
  3. Step 3: Cross multiply
    57,764,016,007.20x = 86,508,274,503.60 × 57,764,016,007.20
  4. Step 4: Simplify right side
    57,764,016,007.20x = 4,997,065,353,181,201,956,864
  5. Step 5: Solve for x
    x = 4,997,065,353,181,201,956,864/57,764,016,007.20
  6. Step 6: Final answer
    x = 86,508,274,503.60

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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.