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Finding the Fourth Proportional to 13,609,586,999.90, 20,414,380,499.85 and 13,609,586,999.90

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Solution

The fourth proportional to 13,609,586,999.90, 20,414,380,499.85 and 13,609,586,999.90 is: 20,414,380,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609,586,999.90 : 20,414,380,499.85 = 13,609,586,999.90 : x
  2. Step 2: Convert to fraction form
    13,609,586,999.90/20,414,380,499.85 = 13,609,586,999.90/x
  3. Step 3: Cross multiply
    13,609,586,999.90x = 20,414,380,499.85 × 13,609,586,999.90
  4. Step 4: Simplify right side
    13,609,586,999.90x = 277,831,287,461,770,592,256
  5. Step 5: Solve for x
    x = 277,831,287,461,770,592,256/13,609,586,999.90
  6. Step 6: Final answer
    x = 20,414,380,499.85

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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.