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Finding the Fourth Proportional to 199,584,993.20, 299,377,489.80 and 199,584,993.20

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Solution

The fourth proportional to 199,584,993.20, 299,377,489.80 and 199,584,993.20 is: 299,377,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,584,993.20 : 299,377,489.80 = 199,584,993.20 : x
  2. Step 2: Convert to fraction form
    199,584,993.20/299,377,489.80 = 199,584,993.20/x
  3. Step 3: Cross multiply
    199,584,993.20x = 299,377,489.80 × 199,584,993.20
  4. Step 4: Simplify right side
    199,584,993.20x = 59,751,254,265,966,072
  5. Step 5: Solve for x
    x = 59,751,254,265,966,072/199,584,993.20
  6. Step 6: Final answer
    x = 299,377,489.80

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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.