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Finding the Fourth Proportional to 431,796,329.40, 647,694,494.10 and 213,480,366.60

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Solution

The fourth proportional to 431,796,329.40, 647,694,494.10 and 213,480,366.60 is: 320,220,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,796,329.40 : 647,694,494.10 = 213,480,366.60 : x
  2. Step 2: Convert to fraction form
    431,796,329.40/647,694,494.10 = 213,480,366.60/x
  3. Step 3: Cross multiply
    431,796,329.40x = 647,694,494.10 × 213,480,366.60
  4. Step 4: Simplify right side
    431,796,329.40x = 138,270,058,045,269,536
  5. Step 5: Solve for x
    x = 138,270,058,045,269,536/431,796,329.40
  6. Step 6: Final answer
    x = 320,220,549.90

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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.