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Finding the Fourth Proportional to 129,848,790,834.20, 194,773,186,251.30 and 129,848,790,834.20

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Solution

The fourth proportional to 129,848,790,834.20, 194,773,186,251.30 and 129,848,790,834.20 is: 194,773,186,251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,848,790,834.20 : 194,773,186,251.30 = 129,848,790,834.20 : x
  2. Step 2: Convert to fraction form
    129,848,790,834.20/194,773,186,251.30 = 129,848,790,834.20/x
  3. Step 3: Cross multiply
    129,848,790,834.20x = 194,773,186,251.30 × 129,848,790,834.20
  4. Step 4: Simplify right side
    129,848,790,834.20x = 25,291,062,721,655,729,029,120
  5. Step 5: Solve for x
    x = 25,291,062,721,655,729,029,120/129,848,790,834.20
  6. Step 6: Final answer
    x = 194,773,186,251.30

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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.