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Finding the Fourth Proportional to 323,524,342.65, 485,286,513.98 and 323,524,342.65

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Solution

The fourth proportional to 323,524,342.65, 485,286,513.98 and 323,524,342.65 is: 485,286,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,524,342.65 : 485,286,513.98 = 323,524,342.65 : x
  2. Step 2: Convert to fraction form
    323,524,342.65/485,286,513.98 = 323,524,342.65/x
  3. Step 3: Cross multiply
    323,524,342.65x = 485,286,513.98 × 323,524,342.65
  4. Step 4: Simplify right side
    323,524,342.65x = 157,002,000,430,671,904
  5. Step 5: Solve for x
    x = 157,002,000,430,671,904/323,524,342.65
  6. Step 6: Final answer
    x = 485,286,513.98

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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.