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Finding the Fourth Proportional to 192,488,698.80, 288,733,048.20 and 141,470,362.80

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Solution

The fourth proportional to 192,488,698.80, 288,733,048.20 and 141,470,362.80 is: 212,205,544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,488,698.80 : 288,733,048.20 = 141,470,362.80 : x
  2. Step 2: Convert to fraction form
    192,488,698.80/288,733,048.20 = 141,470,362.80/x
  3. Step 3: Cross multiply
    192,488,698.80x = 288,733,048.20 × 141,470,362.80
  4. Step 4: Simplify right side
    192,488,698.80x = 40,847,169,081,203,888
  5. Step 5: Solve for x
    x = 40,847,169,081,203,888/192,488,698.80
  6. Step 6: Final answer
    x = 212,205,544.20

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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.