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Finding the Fourth Proportional to 147,250,852,102.90, 220,876,278,154.35 and 147,250,852,102.90

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Solution

The fourth proportional to 147,250,852,102.90, 220,876,278,154.35 and 147,250,852,102.90 is: 220,876,278,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,250,852,102.90 : 220,876,278,154.35 = 147,250,852,102.90 : x
  2. Step 2: Convert to fraction form
    147,250,852,102.90/220,876,278,154.35 = 147,250,852,102.90/x
  3. Step 3: Cross multiply
    147,250,852,102.90x = 220,876,278,154.35 × 147,250,852,102.90
  4. Step 4: Simplify right side
    147,250,852,102.90x = 32,524,220,167,545,193,234,432
  5. Step 5: Solve for x
    x = 32,524,220,167,545,193,234,432/147,250,852,102.90
  6. Step 6: Final answer
    x = 220,876,278,154.35

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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.