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Finding the Fourth Proportional to 206,008,618.88, 308,964,988.88 and 76,677,137.12

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Solution

The fourth proportional to 206,008,618.88, 308,964,988.88 and 76,677,137.12 is: 114,997,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,008,618.88 : 308,964,988.88 = 76,677,137.12 : x
  2. Step 2: Convert to fraction form
    206,008,618.88/308,964,988.88 = 76,677,137.12/x
  3. Step 3: Cross multiply
    206,008,618.88x = 308,964,988.88 × 76,677,137.12
  4. Step 4: Simplify right side
    206,008,618.88x = 23,690,550,818,306,836
  5. Step 5: Solve for x
    x = 23,690,550,818,306,836/206,008,618.88
  6. Step 6: Final answer
    x = 114,997,862.45

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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.