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Finding the Fourth Proportional to 323,846,266.44, 485,769,018.96 and 105,496,251.24

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Solution

The fourth proportional to 323,846,266.44, 485,769,018.96 and 105,496,251.24 is: 158,244,252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,846,266.44 : 485,769,018.96 = 105,496,251.24 : x
  2. Step 2: Convert to fraction form
    323,846,266.44/485,769,018.96 = 105,496,251.24/x
  3. Step 3: Cross multiply
    323,846,266.44x = 485,769,018.96 × 105,496,251.24
  4. Step 4: Simplify right side
    323,846,266.44x = 51,246,810,468,812,480
  5. Step 5: Solve for x
    x = 51,246,810,468,812,480/323,846,266.44
  6. Step 6: Final answer
    x = 158,244,252.84

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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.