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Finding the Fourth Proportional to 199,320,281.90, 298,980,422.85 and 199,320,281.90

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Solution

The fourth proportional to 199,320,281.90, 298,980,422.85 and 199,320,281.90 is: 298,980,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,320,281.90 : 298,980,422.85 = 199,320,281.90 : x
  2. Step 2: Convert to fraction form
    199,320,281.90/298,980,422.85 = 199,320,281.90/x
  3. Step 3: Cross multiply
    199,320,281.90x = 298,980,422.85 × 199,320,281.90
  4. Step 4: Simplify right side
    199,320,281.90x = 59,592,862,165,043,208
  5. Step 5: Solve for x
    x = 59,592,862,165,043,208/199,320,281.90
  6. Step 6: Final answer
    x = 298,980,422.85

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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.