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Finding the Fourth Proportional to 209,952,027.20, 293,252,593.60 and 209,952,027.20

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Solution

The fourth proportional to 209,952,027.20, 293,252,593.60 and 209,952,027.20 is: 293,252,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,027.20 : 293,252,593.60 = 209,952,027.20 : x
  2. Step 2: Convert to fraction form
    209,952,027.20/293,252,593.60 = 209,952,027.20/x
  3. Step 3: Cross multiply
    209,952,027.20x = 293,252,593.60 × 209,952,027.20
  4. Step 4: Simplify right side
    209,952,027.20x = 61,568,976,507,977,744
  5. Step 5: Solve for x
    x = 61,568,976,507,977,744/209,952,027.20
  6. Step 6: Final answer
    x = 293,252,593.60

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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.