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Finding the Fourth Proportional to 159,431,998.80, 238,722,845.40 and 159,431,998.80

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Solution

The fourth proportional to 159,431,998.80, 238,722,845.40 and 159,431,998.80 is: 238,722,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,431,998.80 : 238,722,845.40 = 159,431,998.80 : x
  2. Step 2: Convert to fraction form
    159,431,998.80/238,722,845.40 = 159,431,998.80/x
  3. Step 3: Cross multiply
    159,431,998.80x = 238,722,845.40 × 159,431,998.80
  4. Step 4: Simplify right side
    159,431,998.80x = 38,060,060,401,345,392
  5. Step 5: Solve for x
    x = 38,060,060,401,345,392/159,431,998.80
  6. Step 6: Final answer
    x = 238,722,845.40

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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.