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Finding the Fourth Proportional to 1,513,737,635.85, 2,270,606,453.78 and 1,513,737,635.85

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Solution

The fourth proportional to 1,513,737,635.85, 2,270,606,453.78 and 1,513,737,635.85 is: 2,270,606,453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513,737,635.85 : 2,270,606,453.78 = 1,513,737,635.85 : x
  2. Step 2: Convert to fraction form
    1,513,737,635.85/2,270,606,453.78 = 1,513,737,635.85/x
  3. Step 3: Cross multiply
    1,513,737,635.85x = 2,270,606,453.78 × 1,513,737,635.85
  4. Step 4: Simplify right side
    1,513,737,635.85x = 3,437,102,445,283,120,640
  5. Step 5: Solve for x
    x = 3,437,102,445,283,120,640/1,513,737,635.85
  6. Step 6: Final answer
    x = 2,270,606,453.78

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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.