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Finding the Fourth Proportional to 118,104,109.20, 177,156,163.80 and 118,104,109.20

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Solution

The fourth proportional to 118,104,109.20, 177,156,163.80 and 118,104,109.20 is: 177,156,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,104,109.20 : 177,156,163.80 = 118,104,109.20 : x
  2. Step 2: Convert to fraction form
    118,104,109.20/177,156,163.80 = 118,104,109.20/x
  3. Step 3: Cross multiply
    118,104,109.20x = 177,156,163.80 × 118,104,109.20
  4. Step 4: Simplify right side
    118,104,109.20x = 20,922,870,914,888,288
  5. Step 5: Solve for x
    x = 20,922,870,914,888,288/118,104,109.20
  6. Step 6: Final answer
    x = 177,156,163.80

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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.