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Finding the Fourth Proportional to 606,285,952.80, 909,428,929.20 and 218,121,446.40

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Solution

The fourth proportional to 606,285,952.80, 909,428,929.20 and 218,121,446.40 is: 327,182,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,285,952.80 : 909,428,929.20 = 218,121,446.40 : x
  2. Step 2: Convert to fraction form
    606,285,952.80/909,428,929.20 = 218,121,446.40/x
  3. Step 3: Cross multiply
    606,285,952.80x = 909,428,929.20 × 218,121,446.40
  4. Step 4: Simplify right side
    606,285,952.80x = 198,365,953,435,107,200
  5. Step 5: Solve for x
    x = 198,365,953,435,107,200/606,285,952.80
  6. Step 6: Final answer
    x = 327,182,169.60

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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.