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Finding the Fourth Proportional to 415,281,197.40, 622,921,796.10 and 347,760,634.20

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Solution

The fourth proportional to 415,281,197.40, 622,921,796.10 and 347,760,634.20 is: 521,640,951.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,281,197.40 : 622,921,796.10 = 347,760,634.20 : x
  2. Step 2: Convert to fraction form
    415,281,197.40/622,921,796.10 = 347,760,634.20/x
  3. Step 3: Cross multiply
    415,281,197.40x = 622,921,796.10 × 347,760,634.20
  4. Step 4: Simplify right side
    415,281,197.40x = 216,627,678,868,739,072
  5. Step 5: Solve for x
    x = 216,627,678,868,739,072/415,281,197.40
  6. Step 6: Final answer
    x = 521,640,951.30

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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.