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Finding the Fourth Proportional to 415,261,159.20, 622,891,738.80 and 415,261,159.20

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Solution

The fourth proportional to 415,261,159.20, 622,891,738.80 and 415,261,159.20 is: 622,891,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,261,159.20 : 622,891,738.80 = 415,261,159.20 : x
  2. Step 2: Convert to fraction form
    415,261,159.20/622,891,738.80 = 415,261,159.20/x
  3. Step 3: Cross multiply
    415,261,159.20x = 622,891,738.80 × 415,261,159.20
  4. Step 4: Simplify right side
    415,261,159.20x = 258,662,745,510,191,584
  5. Step 5: Solve for x
    x = 258,662,745,510,191,584/415,261,159.20
  6. Step 6: Final answer
    x = 622,891,738.80

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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.