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Finding the Fourth Proportional to 713,027,107.80, 998,918,195.40 and 713,027,107.80

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Solution

The fourth proportional to 713,027,107.80, 998,918,195.40 and 713,027,107.80 is: 998,918,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,027,107.80 : 998,918,195.40 = 713,027,107.80 : x
  2. Step 2: Convert to fraction form
    713,027,107.80/998,918,195.40 = 713,027,107.80/x
  3. Step 3: Cross multiply
    713,027,107.80x = 998,918,195.40 × 713,027,107.80
  4. Step 4: Simplify right side
    713,027,107.80x = 712,255,751,794,857,216
  5. Step 5: Solve for x
    x = 712,255,751,794,857,216/713,027,107.80
  6. Step 6: Final answer
    x = 998,918,195.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.