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Finding the Fourth Proportional to 431,691,137.80, 647,536,706.70 and 293,941,630.60

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Solution

The fourth proportional to 431,691,137.80, 647,536,706.70 and 293,941,630.60 is: 440,912,445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,691,137.80 : 647,536,706.70 = 293,941,630.60 : x
  2. Step 2: Convert to fraction form
    431,691,137.80/647,536,706.70 = 293,941,630.60/x
  3. Step 3: Cross multiply
    431,691,137.80x = 647,536,706.70 × 293,941,630.60
  4. Step 4: Simplify right side
    431,691,137.80x = 190,337,995,440,751,968
  5. Step 5: Solve for x
    x = 190,337,995,440,751,968/431,691,137.80
  6. Step 6: Final answer
    x = 440,912,445.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.