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Finding the Fourth Proportional to 512,877,992.40, 769,694,902.20 and 206,390,062.80

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Solution

The fourth proportional to 512,877,992.40, 769,694,902.20 and 206,390,062.80 is: 309,737,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,877,992.40 : 769,694,902.20 = 206,390,062.80 : x
  2. Step 2: Convert to fraction form
    512,877,992.40/769,694,902.20 = 206,390,062.80/x
  3. Step 3: Cross multiply
    512,877,992.40x = 769,694,902.20 × 206,390,062.80
  4. Step 4: Simplify right side
    512,877,992.40x = 158,857,379,201,897,888
  5. Step 5: Solve for x
    x = 158,857,379,201,897,888/512,877,992.40
  6. Step 6: Final answer
    x = 309,737,172.50

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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.