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Finding the Fourth Proportional to 20,097,067,862.70, 30,145,601,794.05 and 20,097,067,862.70

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Solution

The fourth proportional to 20,097,067,862.70, 30,145,601,794.05 and 20,097,067,862.70 is: 30,145,601,794.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097,067,862.70 : 30,145,601,794.05 = 20,097,067,862.70 : x
  2. Step 2: Convert to fraction form
    20,097,067,862.70/30,145,601,794.05 = 20,097,067,862.70/x
  3. Step 3: Cross multiply
    20,097,067,862.70x = 30,145,601,794.05 × 20,097,067,862.70
  4. Step 4: Simplify right side
    20,097,067,862.70x = 605,838,205,016,953,716,736
  5. Step 5: Solve for x
    x = 605,838,205,016,953,716,736/20,097,067,862.70
  6. Step 6: Final answer
    x = 30,145,601,794.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.