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Finding the Fourth Proportional to 541,728,709.20, 812,593,063.80 and 403,776,248.40

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Solution

The fourth proportional to 541,728,709.20, 812,593,063.80 and 403,776,248.40 is: 605,664,372.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,728,709.20 : 812,593,063.80 = 403,776,248.40 : x
  2. Step 2: Convert to fraction form
    541,728,709.20/812,593,063.80 = 403,776,248.40/x
  3. Step 3: Cross multiply
    541,728,709.20x = 812,593,063.80 × 403,776,248.40
  4. Step 4: Simplify right side
    541,728,709.20x = 328,105,778,777,025,792
  5. Step 5: Solve for x
    x = 328,105,778,777,025,792/541,728,709.20
  6. Step 6: Final answer
    x = 605,664,372.60

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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.