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Finding the Fourth Proportional to 9,159,127,833.60, 13,738,691,750.40 and 9,159,127,833.60

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Solution

The fourth proportional to 9,159,127,833.60, 13,738,691,750.40 and 9,159,127,833.60 is: 13,738,691,750.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159,127,833.60 : 13,738,691,750.40 = 9,159,127,833.60 : x
  2. Step 2: Convert to fraction form
    9,159,127,833.60/13,738,691,750.40 = 9,159,127,833.60/x
  3. Step 3: Cross multiply
    9,159,127,833.60x = 13,738,691,750.40 × 9,159,127,833.60
  4. Step 4: Simplify right side
    9,159,127,833.60x = 125,834,434,008,339,349,504
  5. Step 5: Solve for x
    x = 125,834,434,008,339,349,504/9,159,127,833.60
  6. Step 6: Final answer
    x = 13,738,691,750.40

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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.