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Finding the Fourth Proportional to 2,199,387,985.40, 3,299,081,978.10 and 818,916,843.80

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Solution

The fourth proportional to 2,199,387,985.40, 3,299,081,978.10 and 818,916,843.80 is: 1,228,375,265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199,387,985.40 : 3,299,081,978.10 = 818,916,843.80 : x
  2. Step 2: Convert to fraction form
    2,199,387,985.40/3,299,081,978.10 = 818,916,843.80/x
  3. Step 3: Cross multiply
    2,199,387,985.40x = 3,299,081,978.10 × 818,916,843.80
  4. Step 4: Simplify right side
    2,199,387,985.40x = 2,701,673,800,943,112,704
  5. Step 5: Solve for x
    x = 2,701,673,800,943,112,704/2,199,387,985.40
  6. Step 6: Final answer
    x = 1,228,375,265.70

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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.