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Finding the Fourth Proportional to 72,414,624.80, 108,747,908.40 and 38,402,400.80

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Solution

The fourth proportional to 72,414,624.80, 108,747,908.40 and 38,402,400.80 is: 57,670,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,414,624.80 : 108,747,908.40 = 38,402,400.80 : x
  2. Step 2: Convert to fraction form
    72,414,624.80/108,747,908.40 = 38,402,400.80/x
  3. Step 3: Cross multiply
    72,414,624.80x = 108,747,908.40 × 38,402,400.80
  4. Step 4: Simplify right side
    72,414,624.80x = 4,176,180,764,538,486.50
  5. Step 5: Solve for x
    x = 4,176,180,764,538,486.50/72,414,624.80
  6. Step 6: Final answer
    x = 57,670,405.34

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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.