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Finding the Fourth Proportional to 578,499,942.92, 798,379,157.22 and 327,648,959.24

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Solution

The fourth proportional to 578,499,942.92, 798,379,157.22 and 327,648,959.24 is: 452,183,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,499,942.92 : 798,379,157.22 = 327,648,959.24 : x
  2. Step 2: Convert to fraction form
    578,499,942.92/798,379,157.22 = 327,648,959.24/x
  3. Step 3: Cross multiply
    578,499,942.92x = 798,379,157.22 × 327,648,959.24
  4. Step 4: Simplify right side
    578,499,942.92x = 261,588,099,942,041,344
  5. Step 5: Solve for x
    x = 261,588,099,942,041,344/578,499,942.92
  6. Step 6: Final answer
    x = 452,183,449.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.