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Finding the Fourth Proportional to 494,094,857.34, 741,147,601.23 and 149,051,475.30

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Solution

The fourth proportional to 494,094,857.34, 741,147,601.23 and 149,051,475.30 is: 223,578,816.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,094,857.34 : 741,147,601.23 = 149,051,475.30 : x
  2. Step 2: Convert to fraction form
    494,094,857.34/741,147,601.23 = 149,051,475.30/x
  3. Step 3: Cross multiply
    494,094,857.34x = 741,147,601.23 × 149,051,475.30
  4. Step 4: Simplify right side
    494,094,857.34x = 110,469,143,375,608,288
  5. Step 5: Solve for x
    x = 110,469,143,375,608,288/494,094,857.34
  6. Step 6: Final answer
    x = 223,578,816.37

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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.