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Finding the Fourth Proportional to 3,982,862,022.70, 5,565,122,920.10 and 3,982,862,022.70

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Solution

The fourth proportional to 3,982,862,022.70, 5,565,122,920.10 and 3,982,862,022.70 is: 5,565,122,920.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982,862,022.70 : 5,565,122,920.10 = 3,982,862,022.70 : x
  2. Step 2: Convert to fraction form
    3,982,862,022.70/5,565,122,920.10 = 3,982,862,022.70/x
  3. Step 3: Cross multiply
    3,982,862,022.70x = 5,565,122,920.10 × 3,982,862,022.70
  4. Step 4: Simplify right side
    3,982,862,022.70x = 22,165,116,730,123,616,256
  5. Step 5: Solve for x
    x = 22,165,116,730,123,616,256/3,982,862,022.70
  6. Step 6: Final answer
    x = 5,565,122,920.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.