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Finding the Fourth Proportional to 2,663,510,400.70, 3,735,036,761.30 and 2,663,510,400.70

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Solution

The fourth proportional to 2,663,510,400.70, 3,735,036,761.30 and 2,663,510,400.70 is: 3,735,036,761.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663,510,400.70 : 3,735,036,761.30 = 2,663,510,400.70 : x
  2. Step 2: Convert to fraction form
    2,663,510,400.70/3,735,036,761.30 = 2,663,510,400.70/x
  3. Step 3: Cross multiply
    2,663,510,400.70x = 3,735,036,761.30 × 2,663,510,400.70
  4. Step 4: Simplify right side
    2,663,510,400.70x = 9,948,309,260,719,392,768
  5. Step 5: Solve for x
    x = 9,948,309,260,719,392,768/2,663,510,400.70
  6. Step 6: Final answer
    x = 3,735,036,761.30

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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.