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Finding the Fourth Proportional to 431,796,298.40, 647,694,447.60 and 213,480,335.60

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Solution

The fourth proportional to 431,796,298.40, 647,694,447.60 and 213,480,335.60 is: 320,220,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,796,298.40 : 647,694,447.60 = 213,480,335.60 : x
  2. Step 2: Convert to fraction form
    431,796,298.40/647,694,447.60 = 213,480,335.60/x
  3. Step 3: Cross multiply
    431,796,298.40x = 647,694,447.60 × 213,480,335.60
  4. Step 4: Simplify right side
    431,796,298.40x = 138,270,028,039,904,608
  5. Step 5: Solve for x
    x = 138,270,028,039,904,608/431,796,298.40
  6. Step 6: Final answer
    x = 320,220,503.40

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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.