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Finding the Fourth Proportional to 3,561,984,472.80, 4,976,586,103.20 and 3,561,984,472.80

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Solution

The fourth proportional to 3,561,984,472.80, 4,976,586,103.20 and 3,561,984,472.80 is: 4,976,586,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561,984,472.80 : 4,976,586,103.20 = 3,561,984,472.80 : x
  2. Step 2: Convert to fraction form
    3,561,984,472.80/4,976,586,103.20 = 3,561,984,472.80/x
  3. Step 3: Cross multiply
    3,561,984,472.80x = 4,976,586,103.20 × 3,561,984,472.80
  4. Step 4: Simplify right side
    3,561,984,472.80x = 17,726,522,427,150,659,584
  5. Step 5: Solve for x
    x = 17,726,522,427,150,659,584/3,561,984,472.80
  6. Step 6: Final answer
    x = 4,976,586,103.20

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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.