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Finding the Fourth Proportional to 20,097,067,781.70, 30,145,601,672.55 and 20,097,067,781.70

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Solution

The fourth proportional to 20,097,067,781.70, 30,145,601,672.55 and 20,097,067,781.70 is: 30,145,601,672.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097,067,781.70 : 30,145,601,672.55 = 20,097,067,781.70 : x
  2. Step 2: Convert to fraction form
    20,097,067,781.70/30,145,601,672.55 = 20,097,067,781.70/x
  3. Step 3: Cross multiply
    20,097,067,781.70x = 30,145,601,672.55 × 20,097,067,781.70
  4. Step 4: Simplify right side
    20,097,067,781.70x = 605,838,200,133,366,185,984
  5. Step 5: Solve for x
    x = 605,838,200,133,366,185,984/20,097,067,781.70
  6. Step 6: Final answer
    x = 30,145,601,672.55

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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.