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Finding the Fourth Proportional to 80,761,536,610.80, 121,142,304,916.20 and 80,761,536,610.80

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Solution

The fourth proportional to 80,761,536,610.80, 121,142,304,916.20 and 80,761,536,610.80 is: 121,142,304,916.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,761,536,610.80 : 121,142,304,916.20 = 80,761,536,610.80 : x
  2. Step 2: Convert to fraction form
    80,761,536,610.80/121,142,304,916.20 = 80,761,536,610.80/x
  3. Step 3: Cross multiply
    80,761,536,610.80x = 121,142,304,916.20 × 80,761,536,610.80
  4. Step 4: Simplify right side
    80,761,536,610.80x = 9,783,638,693,606,382,895,104
  5. Step 5: Solve for x
    x = 9,783,638,693,606,382,895,104/80,761,536,610.80
  6. Step 6: Final answer
    x = 121,142,304,916.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.