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Finding the Fourth Proportional to 173,840,954,779.90, 260,761,432,169.85 and 173,840,954,779.90

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Solution

The fourth proportional to 173,840,954,779.90, 260,761,432,169.85 and 173,840,954,779.90 is: 260,761,432,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,840,954,779.90 : 260,761,432,169.85 = 173,840,954,779.90 : x
  2. Step 2: Convert to fraction form
    173,840,954,779.90/260,761,432,169.85 = 173,840,954,779.90/x
  3. Step 3: Cross multiply
    173,840,954,779.90x = 260,761,432,169.85 × 173,840,954,779.90
  4. Step 4: Simplify right side
    173,840,954,779.90x = 45,331,016,338,180,853,989,376
  5. Step 5: Solve for x
    x = 45,331,016,338,180,853,989,376/173,840,954,779.90
  6. Step 6: Final answer
    x = 260,761,432,169.85

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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.