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Finding the Fourth Proportional to 524,569,914.52, 723,645,146.19 and 312,727,474

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Solution

The fourth proportional to 524,569,914.52, 723,645,146.19 and 312,727,474 is: 431,408,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,569,914.52 : 723,645,146.19 = 312,727,474 : x
  2. Step 2: Convert to fraction form
    524,569,914.52/723,645,146.19 = 312,727,474/x
  3. Step 3: Cross multiply
    524,569,914.52x = 723,645,146.19 × 312,727,474
  4. Step 4: Simplify right side
    524,569,914.52x = 226,303,718,640,359,456
  5. Step 5: Solve for x
    x = 226,303,718,640,359,456/524,569,914.52
  6. Step 6: Final answer
    x = 431,408,116.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.