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Finding the Fourth Proportional to 206,566,913, 285,062,339.94 and 113,747,199.68

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Solution

The fourth proportional to 206,566,913, 285,062,339.94 and 113,747,199.68 is: 156,971,135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,566,913 : 285,062,339.94 = 113,747,199.68 : x
  2. Step 2: Convert to fraction form
    206,566,913/285,062,339.94 = 113,747,199.68/x
  3. Step 3: Cross multiply
    206,566,913x = 285,062,339.94 × 113,747,199.68
  4. Step 4: Simplify right side
    206,566,913x = 32,425,042,902,403,220
  5. Step 5: Solve for x
    x = 32,425,042,902,403,220/206,566,913
  6. Step 6: Final answer
    x = 156,971,135.56

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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.