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Finding the Fourth Proportional to 3,581,815,248,006.70, 5,372,722,872,010.20 and 3,581,815,248,006.70

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Solution

The fourth proportional to 3,581,815,248,006.70, 5,372,722,872,010.20 and 3,581,815,248,006.70 is: 5,372,722,872,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581,815,248,006.70 : 5,372,722,872,010.20 = 3,581,815,248,006.70 : x
  2. Step 2: Convert to fraction form
    3,581,815,248,006.70/5,372,722,872,010.20 = 3,581,815,248,006.70/x
  3. Step 3: Cross multiply
    3,581,815,248,006.70x = 5,372,722,872,010.20 × 3,581,815,248,006.70
  4. Step 4: Simplify right side
    3,581,815,248,006.70x = 19,244,100,706,280,485,221,826,560
  5. Step 5: Solve for x
    x = 19,244,100,706,280,485,221,826,560/3,581,815,248,006.70
  6. Step 6: Final answer
    x = 5,372,722,872,010.20

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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.