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Finding the Fourth Proportional to 449,973,576.16, 674,597,138.16 and 413,652,908.04

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Solution

The fourth proportional to 449,973,576.16, 674,597,138.16 and 413,652,908.04 is: 620,145,454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,973,576.16 : 674,597,138.16 = 413,652,908.04 : x
  2. Step 2: Convert to fraction form
    449,973,576.16/674,597,138.16 = 413,652,908.04/x
  3. Step 3: Cross multiply
    449,973,576.16x = 674,597,138.16 × 413,652,908.04
  4. Step 4: Simplify right side
    449,973,576.16x = 279,049,067,955,345,664
  5. Step 5: Solve for x
    x = 279,049,067,955,345,664/449,973,576.16
  6. Step 6: Final answer
    x = 620,145,454.62

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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.