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Finding the Fourth Proportional to 422,761,195.40, 633,385,965.90 and 362,295,019.40

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Solution

The fourth proportional to 422,761,195.40, 633,385,965.90 and 362,295,019.40 is: 542,794,805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,761,195.40 : 633,385,965.90 = 362,295,019.40 : x
  2. Step 2: Convert to fraction form
    422,761,195.40/633,385,965.90 = 362,295,019.40/x
  3. Step 3: Cross multiply
    422,761,195.40x = 633,385,965.90 × 362,295,019.40
  4. Step 4: Simplify right side
    422,761,195.40x = 229,472,580,803,428,224
  5. Step 5: Solve for x
    x = 229,472,580,803,428,224/422,761,195.40
  6. Step 6: Final answer
    x = 542,794,805.44

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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.