Home / 206,002,731,843.14-284,284,005,629.15-114,549,319,131.78

Finding the Fourth Proportional to 206,002,731,843.14, 284,284,005,629.15 and 114,549,319,131.78

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Solution

The fourth proportional to 206,002,731,843.14, 284,284,005,629.15 and 114,549,319,131.78 is: 158,078,191,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,002,731,843.14 : 284,284,005,629.15 = 114,549,319,131.78 : x
  2. Step 2: Convert to fraction form
    206,002,731,843.14/284,284,005,629.15 = 114,549,319,131.78/x
  3. Step 3: Cross multiply
    206,002,731,843.14x = 284,284,005,629.15 × 114,549,319,131.78
  4. Step 4: Simplify right side
    206,002,731,843.14x = 32,564,539,284,874,246,225,920
  5. Step 5: Solve for x
    x = 32,564,539,284,874,246,225,920/206,002,731,843.14
  6. Step 6: Final answer
    x = 158,078,191,456.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.