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Finding the Fourth Proportional to 838,255,796.64, 1,148,414,538.60 and 806,838,167.88

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Solution

The fourth proportional to 838,255,796.64, 1,148,414,538.60 and 806,838,167.88 is: 1,105,372,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,255,796.64 : 1,148,414,538.60 = 806,838,167.88 : x
  2. Step 2: Convert to fraction form
    838,255,796.64/1,148,414,538.60 = 806,838,167.88/x
  3. Step 3: Cross multiply
    838,255,796.64x = 1,148,414,538.60 × 806,838,167.88
  4. Step 4: Simplify right side
    838,255,796.64x = 926,584,682,290,779,520
  5. Step 5: Solve for x
    x = 926,584,682,290,779,520/838,255,796.64
  6. Step 6: Final answer
    x = 1,105,372,233.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.