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Finding the Fourth Proportional to 206,009,060.24, 308,965,649.16 and 76,677,578.48

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Solution

The fourth proportional to 206,009,060.24, 308,965,649.16 and 76,677,578.48 is: 114,998,523.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,009,060.24 : 308,965,649.16 = 76,677,578.48 : x
  2. Step 2: Convert to fraction form
    206,009,060.24/308,965,649.16 = 76,677,578.48/x
  3. Step 3: Cross multiply
    206,009,060.24x = 308,965,649.16 × 76,677,578.48
  4. Step 4: Simplify right side
    206,009,060.24x = 23,690,737,811,090,048
  5. Step 5: Solve for x
    x = 23,690,737,811,090,048/206,009,060.24
  6. Step 6: Final answer
    x = 114,998,523.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.