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Finding the Fourth Proportional to 192,488,593.80, 288,732,890.70 and 141,470,257.80

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Solution

The fourth proportional to 192,488,593.80, 288,732,890.70 and 141,470,257.80 is: 212,205,386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,488,593.80 : 288,732,890.70 = 141,470,257.80 : x
  2. Step 2: Convert to fraction form
    192,488,593.80/288,732,890.70 = 141,470,257.80/x
  3. Step 3: Cross multiply
    192,488,593.80x = 288,732,890.70 × 141,470,257.80
  4. Step 4: Simplify right side
    192,488,593.80x = 40,847,116,482,668,224
  5. Step 5: Solve for x
    x = 40,847,116,482,668,224/192,488,593.80
  6. Step 6: Final answer
    x = 212,205,386.70

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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.