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Finding the Fourth Proportional to 9,149,339,601.60, 13,724,009,402.40 and 9,149,339,601.60

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Solution

The fourth proportional to 9,149,339,601.60, 13,724,009,402.40 and 9,149,339,601.60 is: 13,724,009,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149,339,601.60 : 13,724,009,402.40 = 9,149,339,601.60 : x
  2. Step 2: Convert to fraction form
    9,149,339,601.60/13,724,009,402.40 = 9,149,339,601.60/x
  3. Step 3: Cross multiply
    9,149,339,601.60x = 13,724,009,402.40 × 9,149,339,601.60
  4. Step 4: Simplify right side
    9,149,339,601.60x = 125,565,622,718,109,073,408
  5. Step 5: Solve for x
    x = 125,565,622,718,109,073,408/9,149,339,601.60
  6. Step 6: Final answer
    x = 13,724,009,402.40

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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.