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Finding the Fourth Proportional to 225,536,016.20, 315,070,178.20 and 225,536,016.20

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Solution

The fourth proportional to 225,536,016.20, 315,070,178.20 and 225,536,016.20 is: 315,070,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,536,016.20 : 315,070,178.20 = 225,536,016.20 : x
  2. Step 2: Convert to fraction form
    225,536,016.20/315,070,178.20 = 225,536,016.20/x
  3. Step 3: Cross multiply
    225,536,016.20x = 315,070,178.20 × 225,536,016.20
  4. Step 4: Simplify right side
    225,536,016.20x = 71,059,672,814,652,080
  5. Step 5: Solve for x
    x = 71,059,672,814,652,080/225,536,016.20
  6. Step 6: Final answer
    x = 315,070,178.20

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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.