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Finding the Fourth Proportional to 199,693,668.80, 299,568,496.80 and 78,496,932.80

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Solution

The fourth proportional to 199,693,668.80, 299,568,496.80 and 78,496,932.80 is: 117,756,403.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,693,668.80 : 299,568,496.80 = 78,496,932.80 : x
  2. Step 2: Convert to fraction form
    199,693,668.80/299,568,496.80 = 78,496,932.80/x
  3. Step 3: Cross multiply
    199,693,668.80x = 299,568,496.80 × 78,496,932.80
  4. Step 4: Simplify right side
    199,693,668.80x = 23,515,208,162,306,616
  5. Step 5: Solve for x
    x = 23,515,208,162,306,616/199,693,668.80
  6. Step 6: Final answer
    x = 117,756,403.11

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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.