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Finding the Fourth Proportional to 884,933,998.80, 1,327,400,998.20 and 797,258,043.60

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Solution

The fourth proportional to 884,933,998.80, 1,327,400,998.20 and 797,258,043.60 is: 1,195,887,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,933,998.80 : 1,327,400,998.20 = 797,258,043.60 : x
  2. Step 2: Convert to fraction form
    884,933,998.80/1,327,400,998.20 = 797,258,043.60/x
  3. Step 3: Cross multiply
    884,933,998.80x = 1,327,400,998.20 × 797,258,043.60
  4. Step 4: Simplify right side
    884,933,998.80x = 1,058,281,122,897,619,200
  5. Step 5: Solve for x
    x = 1,058,281,122,897,619,200/884,933,998.80
  6. Step 6: Final answer
    x = 1,195,887,065.40

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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.