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Finding the Fourth Proportional to 446,706,021.20, 668,736,334.20 and 332,198,200.40

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Solution

The fourth proportional to 446,706,021.20, 668,736,334.20 and 332,198,200.40 is: 497,313,660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,706,021.20 : 668,736,334.20 = 332,198,200.40 : x
  2. Step 2: Convert to fraction form
    446,706,021.20/668,736,334.20 = 332,198,200.40/x
  3. Step 3: Cross multiply
    446,706,021.20x = 668,736,334.20 × 332,198,200.40
  4. Step 4: Simplify right side
    446,706,021.20x = 222,153,006,763,332,960
  5. Step 5: Solve for x
    x = 222,153,006,763,332,960/446,706,021.20
  6. Step 6: Final answer
    x = 497,313,660.93

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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.