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Finding the Fourth Proportional to 13,367,015,928,041, 20,050,523,892,064 and 13,367,015,928,041

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Solution

The fourth proportional to 13,367,015,928,041, 20,050,523,892,064 and 13,367,015,928,041 is: 20,050,523,892,064

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,367,015,928,041 : 20,050,523,892,064 = 13,367,015,928,041 : x
  2. Step 2: Convert to fraction form
    13,367,015,928,041/20,050,523,892,064 = 13,367,015,928,041/x
  3. Step 3: Cross multiply
    13,367,015,928,041x = 20,050,523,892,064 × 13,367,015,928,041
  4. Step 4: Simplify right side
    13,367,015,928,041x = 268,015,672,230,786,099,136,430,080
  5. Step 5: Solve for x
    x = 268,015,672,230,786,099,136,430,080/13,367,015,928,041
  6. Step 6: Final answer
    x = 20,050,523,892,064

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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.