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Finding the Fourth Proportional to 1,661,251,519.80, 2,491,877,279.70 and 1,661,251,519.80

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Solution

The fourth proportional to 1,661,251,519.80, 2,491,877,279.70 and 1,661,251,519.80 is: 2,491,877,279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,251,519.80 : 2,491,877,279.70 = 1,661,251,519.80 : x
  2. Step 2: Convert to fraction form
    1,661,251,519.80/2,491,877,279.70 = 1,661,251,519.80/x
  3. Step 3: Cross multiply
    1,661,251,519.80x = 2,491,877,279.70 × 1,661,251,519.80
  4. Step 4: Simplify right side
    1,661,251,519.80x = 4,139,634,918,056,714,240
  5. Step 5: Solve for x
    x = 4,139,634,918,056,714,240/1,661,251,519.80
  6. Step 6: Final answer
    x = 2,491,877,279.70

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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.