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Finding the Fourth Proportional to 431,796,343.70, 647,694,515.55 and 286,394,086.10

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Solution

The fourth proportional to 431,796,343.70, 647,694,515.55 and 286,394,086.10 is: 429,591,129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,796,343.70 : 647,694,515.55 = 286,394,086.10 : x
  2. Step 2: Convert to fraction form
    431,796,343.70/647,694,515.55 = 286,394,086.10/x
  3. Step 3: Cross multiply
    431,796,343.70x = 647,694,515.55 × 286,394,086.10
  4. Step 4: Simplify right side
    431,796,343.70x = 185,495,878,852,924,480
  5. Step 5: Solve for x
    x = 185,495,878,852,924,480/431,796,343.70
  6. Step 6: Final answer
    x = 429,591,129.15

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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.