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Finding the Fourth Proportional to 1,416,434,892.22, 1,954,591,671.22 and 781,362,729.55

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Solution

The fourth proportional to 1,416,434,892.22, 1,954,591,671.22 and 781,362,729.55 is: 1,078,231,757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416,434,892.22 : 1,954,591,671.22 = 781,362,729.55 : x
  2. Step 2: Convert to fraction form
    1,416,434,892.22/1,954,591,671.22 = 781,362,729.55/x
  3. Step 3: Cross multiply
    1,416,434,892.22x = 1,954,591,671.22 × 781,362,729.55
  4. Step 4: Simplify right side
    1,416,434,892.22x = 1,527,245,083,385,099,008
  5. Step 5: Solve for x
    x = 1,527,245,083,385,099,008/1,416,434,892.22
  6. Step 6: Final answer
    x = 1,078,231,757.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.