Finding the Fourth Proportional to 13,367,015,928,064, 20,050,523,892,100 and 13,367,015,928,064
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Solution
The fourth proportional to 13,367,015,928,064, 20,050,523,892,100 and 13,367,015,928,064 is: 20,050,523,892,100
Step by Step Solution
- Step 1: Write the proportion equation
13,367,015,928,064 : 20,050,523,892,100 = 13,367,015,928,064 : x - Step 2: Convert to fraction form
13,367,015,928,064/20,050,523,892,100 = 13,367,015,928,064/x - Step 3: Cross multiply
13,367,015,928,064x = 20,050,523,892,100 × 13,367,015,928,064 - Step 4: Simplify right side
13,367,015,928,064x = 268,015,672,231,728,483,680,649,216 - Step 5: Solve for x
x = 268,015,672,231,728,483,680,649,216/13,367,015,928,064 - Step 6: Final answer
x = 20,050,523,892,100
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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.