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Finding the Fourth Proportional to 512,161,665.33, 768,243,052.17 and 239,723,751.09

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Solution

The fourth proportional to 512,161,665.33, 768,243,052.17 and 239,723,751.09 is: 359,585,886.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,161,665.33 : 768,243,052.17 = 239,723,751.09 : x
  2. Step 2: Convert to fraction form
    512,161,665.33/768,243,052.17 = 239,723,751.09/x
  3. Step 3: Cross multiply
    512,161,665.33x = 768,243,052.17 × 239,723,751.09
  4. Step 4: Simplify right side
    512,161,665.33x = 184,166,106,215,022,944
  5. Step 5: Solve for x
    x = 184,166,106,215,022,944/512,161,665.33
  6. Step 6: Final answer
    x = 359,585,886.02

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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.