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Finding the Fourth Proportional to 412,920,969,969.46, 619,381,454,954.18 and 412,920,969,969.46

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Solution

The fourth proportional to 412,920,969,969.46, 619,381,454,954.18 and 412,920,969,969.46 is: 619,381,454,954.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,920,969,969.46 : 619,381,454,954.18 = 412,920,969,969.46 : x
  2. Step 2: Convert to fraction form
    412,920,969,969.46/619,381,454,954.18 = 412,920,969,969.46/x
  3. Step 3: Cross multiply
    412,920,969,969.46x = 619,381,454,954.18 × 412,920,969,969.46
  4. Step 4: Simplify right side
    412,920,969,969.46x = 255,755,591,160,775,430,897,664
  5. Step 5: Solve for x
    x = 255,755,591,160,775,430,897,664/412,920,969,969.46
  6. Step 6: Final answer
    x = 619,381,454,954.18

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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.