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Finding the Fourth Proportional to 652,100,446.80, 978,150,670.20 and 434,422,213.20

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Solution

The fourth proportional to 652,100,446.80, 978,150,670.20 and 434,422,213.20 is: 651,633,319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,100,446.80 : 978,150,670.20 = 434,422,213.20 : x
  2. Step 2: Convert to fraction form
    652,100,446.80/978,150,670.20 = 434,422,213.20/x
  3. Step 3: Cross multiply
    652,100,446.80x = 978,150,670.20 × 434,422,213.20
  4. Step 4: Simplify right side
    652,100,446.80x = 424,930,378,991,347,264
  5. Step 5: Solve for x
    x = 424,930,378,991,347,264/652,100,446.80
  6. Step 6: Final answer
    x = 651,633,319.80

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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.