Home / 206,002,731,844.14-284,284,005,630.53-114,549,319,132.78

Finding the Fourth Proportional to 206,002,731,844.14, 284,284,005,630.53 and 114,549,319,132.78

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Solution

The fourth proportional to 206,002,731,844.14, 284,284,005,630.53 and 114,549,319,132.78 is: 158,078,191,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,002,731,844.14 : 284,284,005,630.53 = 114,549,319,132.78 : x
  2. Step 2: Convert to fraction form
    206,002,731,844.14/284,284,005,630.53 = 114,549,319,132.78/x
  3. Step 3: Cross multiply
    206,002,731,844.14x = 284,284,005,630.53 × 114,549,319,132.78
  4. Step 4: Simplify right side
    206,002,731,844.14x = 32,564,539,285,316,611,080,192
  5. Step 5: Solve for x
    x = 32,564,539,285,316,611,080,192/206,002,731,844.14
  6. Step 6: Final answer
    x = 158,078,191,457.94

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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.