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Finding the Fourth Proportional to 11,662,016,016.40, 17,493,024,024.60 and 11,662,016,016.40

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Solution

The fourth proportional to 11,662,016,016.40, 17,493,024,024.60 and 11,662,016,016.40 is: 17,493,024,024.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662,016,016.40 : 17,493,024,024.60 = 11,662,016,016.40 : x
  2. Step 2: Convert to fraction form
    11,662,016,016.40/17,493,024,024.60 = 11,662,016,016.40/x
  3. Step 3: Cross multiply
    11,662,016,016.40x = 17,493,024,024.60 × 11,662,016,016.40
  4. Step 4: Simplify right side
    11,662,016,016.40x = 204,003,926,350,155,153,408
  5. Step 5: Solve for x
    x = 204,003,926,350,155,153,408/11,662,016,016.40
  6. Step 6: Final answer
    x = 17,493,024,024.60

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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.