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Finding the Fourth Proportional to 801,201,998.40, 1,201,802,997.60 and 728,500,869.60

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Solution

The fourth proportional to 801,201,998.40, 1,201,802,997.60 and 728,500,869.60 is: 1,092,751,304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,201,998.40 : 1,201,802,997.60 = 728,500,869.60 : x
  2. Step 2: Convert to fraction form
    801,201,998.40/1,201,802,997.60 = 728,500,869.60/x
  3. Step 3: Cross multiply
    801,201,998.40x = 1,201,802,997.60 × 728,500,869.60
  4. Step 4: Simplify right side
    801,201,998.40x = 875,514,528,839,486,720
  5. Step 5: Solve for x
    x = 875,514,528,839,486,720/801,201,998.40
  6. Step 6: Final answer
    x = 1,092,751,304.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.