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Finding the Fourth Proportional to 339,536,560.80, 509,304,841.20 and 339,536,560.80

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Solution

The fourth proportional to 339,536,560.80, 509,304,841.20 and 339,536,560.80 is: 509,304,841.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,536,560.80 : 509,304,841.20 = 339,536,560.80 : x
  2. Step 2: Convert to fraction form
    339,536,560.80/509,304,841.20 = 339,536,560.80/x
  3. Step 3: Cross multiply
    339,536,560.80x = 509,304,841.20 × 339,536,560.80
  4. Step 4: Simplify right side
    339,536,560.80x = 172,927,614,179,838,144
  5. Step 5: Solve for x
    x = 172,927,614,179,838,144/339,536,560.80
  6. Step 6: Final answer
    x = 509,304,841.20

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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.