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Finding the Fourth Proportional to 345,304,843.20, 517,957,264.80 and 345,304,843.20

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Solution

The fourth proportional to 345,304,843.20, 517,957,264.80 and 345,304,843.20 is: 517,957,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,304,843.20 : 517,957,264.80 = 345,304,843.20 : x
  2. Step 2: Convert to fraction form
    345,304,843.20/517,957,264.80 = 345,304,843.20/x
  3. Step 3: Cross multiply
    345,304,843.20x = 517,957,264.80 × 345,304,843.20
  4. Step 4: Simplify right side
    345,304,843.20x = 178,853,152,106,064,864
  5. Step 5: Solve for x
    x = 178,853,152,106,064,864/345,304,843.20
  6. Step 6: Final answer
    x = 517,957,264.80

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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.