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Finding the Fourth Proportional to 81,729,073,003.65, 122,593,609,505.47 and 81,729,073,003.65

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Solution

The fourth proportional to 81,729,073,003.65, 122,593,609,505.47 and 81,729,073,003.65 is: 122,593,609,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,729,073,003.65 : 122,593,609,505.47 = 81,729,073,003.65 : x
  2. Step 2: Convert to fraction form
    81,729,073,003.65/122,593,609,505.47 = 81,729,073,003.65/x
  3. Step 3: Cross multiply
    81,729,073,003.65x = 122,593,609,505.47 × 81,729,073,003.65
  4. Step 4: Simplify right side
    81,729,073,003.65x = 10,019,462,061,053,517,496,320
  5. Step 5: Solve for x
    x = 10,019,462,061,053,517,496,320/81,729,073,003.65
  6. Step 6: Final answer
    x = 122,593,609,505.47

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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.