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Finding the Fourth Proportional to 431,309,113.20, 646,963,669.80 and 431,309,113.20

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Solution

The fourth proportional to 431,309,113.20, 646,963,669.80 and 431,309,113.20 is: 646,963,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,309,113.20 : 646,963,669.80 = 431,309,113.20 : x
  2. Step 2: Convert to fraction form
    431,309,113.20/646,963,669.80 = 431,309,113.20/x
  3. Step 3: Cross multiply
    431,309,113.20x = 646,963,669.80 × 431,309,113.20
  4. Step 4: Simplify right side
    431,309,113.20x = 279,041,326,694,055,584
  5. Step 5: Solve for x
    x = 279,041,326,694,055,584/431,309,113.20
  6. Step 6: Final answer
    x = 646,963,669.80

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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.