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Finding the Fourth Proportional to 704,906,170.20, 1,057,241,978.16 and 213,502,606.56

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Solution

The fourth proportional to 704,906,170.20, 1,057,241,978.16 and 213,502,606.56 is: 320,218,388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,906,170.20 : 1,057,241,978.16 = 213,502,606.56 : x
  2. Step 2: Convert to fraction form
    704,906,170.20/1,057,241,978.16 = 213,502,606.56/x
  3. Step 3: Cross multiply
    704,906,170.20x = 1,057,241,978.16 × 213,502,606.56
  4. Step 4: Simplify right side
    704,906,170.20x = 225,723,918,101,810,592
  5. Step 5: Solve for x
    x = 225,723,918,101,810,592/704,906,170.20
  6. Step 6: Final answer
    x = 320,218,388.84

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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.