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Finding the Fourth Proportional to 199,555,906.80, 299,501,821.80 and 97,407,260.40

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Solution

The fourth proportional to 199,555,906.80, 299,501,821.80 and 97,407,260.40 is: 146,192,876.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,555,906.80 : 299,501,821.80 = 97,407,260.40 : x
  2. Step 2: Convert to fraction form
    199,555,906.80/299,501,821.80 = 97,407,260.40/x
  3. Step 3: Cross multiply
    199,555,906.80x = 299,501,821.80 × 97,407,260.40
  4. Step 4: Simplify right side
    199,555,906.80x = 29,173,651,946,347,000
  5. Step 5: Solve for x
    x = 29,173,651,946,347,000/199,555,906.80
  6. Step 6: Final answer
    x = 146,192,876.04

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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.