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Finding the Fourth Proportional to 329,794,992.10, 494,566,516.95 and 99,687,600.10

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Solution

The fourth proportional to 329,794,992.10, 494,566,516.95 and 99,687,600.10 is: 149,493,322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,794,992.10 : 494,566,516.95 = 99,687,600.10 : x
  2. Step 2: Convert to fraction form
    329,794,992.10/494,566,516.95 = 99,687,600.10/x
  3. Step 3: Cross multiply
    329,794,992.10x = 494,566,516.95 × 99,687,600.10
  4. Step 4: Simplify right side
    329,794,992.10x = 49,302,149,164,561,464
  5. Step 5: Solve for x
    x = 49,302,149,164,561,464/329,794,992.10
  6. Step 6: Final answer
    x = 149,493,322.66

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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.