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Finding the Fourth Proportional to 336,986,869.20, 472,801,983.60 and 336,986,869.20

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Solution

The fourth proportional to 336,986,869.20, 472,801,983.60 and 336,986,869.20 is: 472,801,983.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,986,869.20 : 472,801,983.60 = 336,986,869.20 : x
  2. Step 2: Convert to fraction form
    336,986,869.20/472,801,983.60 = 336,986,869.20/x
  3. Step 3: Cross multiply
    336,986,869.20x = 472,801,983.60 × 336,986,869.20
  4. Step 4: Simplify right side
    336,986,869.20x = 159,328,060,204,913,760
  5. Step 5: Solve for x
    x = 159,328,060,204,913,760/336,986,869.20
  6. Step 6: Final answer
    x = 472,801,983.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.