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Finding the Fourth Proportional to 329,893,686.26, 494,948,020.43 and 157,348,046.78

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Solution

The fourth proportional to 329,893,686.26, 494,948,020.43 and 157,348,046.78 is: 236,073,339.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,893,686.26 : 494,948,020.43 = 157,348,046.78 : x
  2. Step 2: Convert to fraction form
    329,893,686.26/494,948,020.43 = 157,348,046.78/x
  3. Step 3: Cross multiply
    329,893,686.26x = 494,948,020.43 × 157,348,046.78
  4. Step 4: Simplify right side
    329,893,686.26x = 77,879,104,270,206,672
  5. Step 5: Solve for x
    x = 77,879,104,270,206,672/329,893,686.26
  6. Step 6: Final answer
    x = 236,073,339.73

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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.