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Finding the Fourth Proportional to 68,359,742.80, 102,586,853.40 and 49,206,871.60

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Solution

The fourth proportional to 68,359,742.80, 102,586,853.40 and 49,206,871.60 is: 73,844,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,359,742.80 : 102,586,853.40 = 49,206,871.60 : x
  2. Step 2: Convert to fraction form
    68,359,742.80/102,586,853.40 = 49,206,871.60/x
  3. Step 3: Cross multiply
    68,359,742.80x = 102,586,853.40 × 49,206,871.60
  4. Step 4: Simplify right side
    68,359,742.80x = 5,047,978,123,101,824
  5. Step 5: Solve for x
    x = 5,047,978,123,101,824/68,359,742.80
  6. Step 6: Final answer
    x = 73,844,311.23

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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.