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Finding the Fourth Proportional to 3,858,254,857,380.20, 5,787,382,286,070 and 3,858,254,857,380.20

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Solution

The fourth proportional to 3,858,254,857,380.20, 5,787,382,286,070 and 3,858,254,857,380.20 is: 5,787,382,286,070

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858,254,857,380.20 : 5,787,382,286,070 = 3,858,254,857,380.20 : x
  2. Step 2: Convert to fraction form
    3,858,254,857,380.20/5,787,382,286,070 = 3,858,254,857,380.20/x
  3. Step 3: Cross multiply
    3,858,254,857,380.20x = 5,787,382,286,070 × 3,858,254,857,380.20
  4. Step 4: Simplify right side
    3,858,254,857,380.20x = 22,329,195,816,745,706,524,246,016
  5. Step 5: Solve for x
    x = 22,329,195,816,745,706,524,246,016/3,858,254,857,380.20
  6. Step 6: Final answer
    x = 5,787,382,286,070

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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.