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Finding the Fourth Proportional to 547,951,048.78, 821,839,080.18 and 159,683,059

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Solution

The fourth proportional to 547,951,048.78, 821,839,080.18 and 159,683,059 is: 239,499,091.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,951,048.78 : 821,839,080.18 = 159,683,059 : x
  2. Step 2: Convert to fraction form
    547,951,048.78/821,839,080.18 = 159,683,059/x
  3. Step 3: Cross multiply
    547,951,048.78x = 821,839,080.18 × 159,683,059
  4. Step 4: Simplify right side
    547,951,048.78x = 131,233,778,328,888,656
  5. Step 5: Solve for x
    x = 131,233,778,328,888,656/547,951,048.78
  6. Step 6: Final answer
    x = 239,499,091.43

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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.