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Finding the Fourth Proportional to 394,593,760.40, 553,338,257.20 and 394,593,760.40

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Solution

The fourth proportional to 394,593,760.40, 553,338,257.20 and 394,593,760.40 is: 553,338,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,593,760.40 : 553,338,257.20 = 394,593,760.40 : x
  2. Step 2: Convert to fraction form
    394,593,760.40/553,338,257.20 = 394,593,760.40/x
  3. Step 3: Cross multiply
    394,593,760.40x = 553,338,257.20 × 394,593,760.40
  4. Step 4: Simplify right side
    394,593,760.40x = 218,343,823,681,730,368
  5. Step 5: Solve for x
    x = 218,343,823,681,730,368/394,593,760.40
  6. Step 6: Final answer
    x = 553,338,257.20

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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.