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Finding the Fourth Proportional to 194,979,797,999.90, 292,469,696,999.85 and 194,979,797,999.90

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Solution

The fourth proportional to 194,979,797,999.90, 292,469,696,999.85 and 194,979,797,999.90 is: 292,469,696,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,979,797,999.90 : 292,469,696,999.85 = 194,979,797,999.90 : x
  2. Step 2: Convert to fraction form
    194,979,797,999.90/292,469,696,999.85 = 194,979,797,999.90/x
  3. Step 3: Cross multiply
    194,979,797,999.90x = 292,469,696,999.85 × 194,979,797,999.90
  4. Step 4: Simplify right side
    194,979,797,999.90x = 57,025,682,442,122,705,240,064
  5. Step 5: Solve for x
    x = 57,025,682,442,122,705,240,064/194,979,797,999.90
  6. Step 6: Final answer
    x = 292,469,696,999.85

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1.5x scale

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.