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Finding the Fourth Proportional to 206,682,563.80, 310,023,845.70 and 185,637,500.20

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Solution

The fourth proportional to 206,682,563.80, 310,023,845.70 and 185,637,500.20 is: 278,456,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,682,563.80 : 310,023,845.70 = 185,637,500.20 : x
  2. Step 2: Convert to fraction form
    206,682,563.80/310,023,845.70 = 185,637,500.20/x
  3. Step 3: Cross multiply
    206,682,563.80x = 310,023,845.70 × 185,637,500.20
  4. Step 4: Simplify right side
    206,682,563.80x = 57,552,051,718,138,512
  5. Step 5: Solve for x
    x = 57,552,051,718,138,512/206,682,563.80
  6. Step 6: Final answer
    x = 278,456,250.30

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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.