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Finding the Fourth Proportional to 218,768,329.20, 328,152,493.80 and 218,768,329.20

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Solution

The fourth proportional to 218,768,329.20, 328,152,493.80 and 218,768,329.20 is: 328,152,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,768,329.20 : 328,152,493.80 = 218,768,329.20 : x
  2. Step 2: Convert to fraction form
    218,768,329.20/328,152,493.80 = 218,768,329.20/x
  3. Step 3: Cross multiply
    218,768,329.20x = 328,152,493.80 × 218,768,329.20
  4. Step 4: Simplify right side
    218,768,329.20x = 71,789,372,791,439,360
  5. Step 5: Solve for x
    x = 71,789,372,791,439,360/218,768,329.20
  6. Step 6: Final answer
    x = 328,152,493.80

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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.