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Finding the Fourth Proportional to 398,685,751.20, 598,140,601.20 and 194,220,496.80

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Solution

The fourth proportional to 398,685,751.20, 598,140,601.20 and 194,220,496.80 is: 291,385,293.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,685,751.20 : 598,140,601.20 = 194,220,496.80 : x
  2. Step 2: Convert to fraction form
    398,685,751.20/598,140,601.20 = 194,220,496.80/x
  3. Step 3: Cross multiply
    398,685,751.20x = 598,140,601.20 × 194,220,496.80
  4. Step 4: Simplify right side
    398,685,751.20x = 116,171,164,721,314,688
  5. Step 5: Solve for x
    x = 116,171,164,721,314,688/398,685,751.20
  6. Step 6: Final answer
    x = 291,385,293.73

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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.