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Finding the Fourth Proportional to 40,823,999.70, 57,229,182.30 and 40,823,999.70

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Solution

The fourth proportional to 40,823,999.70, 57,229,182.30 and 40,823,999.70 is: 57,229,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,823,999.70 : 57,229,182.30 = 40,823,999.70 : x
  2. Step 2: Convert to fraction form
    40,823,999.70/57,229,182.30 = 40,823,999.70/x
  3. Step 3: Cross multiply
    40,823,999.70x = 57,229,182.30 × 40,823,999.70
  4. Step 4: Simplify right side
    40,823,999.70x = 2,336,324,121,046,445.50
  5. Step 5: Solve for x
    x = 2,336,324,121,046,445.50/40,823,999.70
  6. Step 6: Final answer
    x = 57,229,182.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.