Finding the Fourth Proportional to 20,647,491,731,856, 30,955,969,112,734 and 12,486,617,703,425
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Solution
The fourth proportional to 20,647,491,731,856, 30,955,969,112,734 and 12,486,617,703,425 is: 18,720,692,903,989.66
Step by Step Solution
- Step 1: Write the proportion equation
20,647,491,731,856 : 30,955,969,112,734 = 12,486,617,703,425 : x - Step 2: Convert to fraction form
20,647,491,731,856/30,955,969,112,734 = 12,486,617,703,425/x - Step 3: Cross multiply
20,647,491,731,856x = 30,955,969,112,734 × 12,486,617,703,425 - Step 4: Simplify right side
20,647,491,731,856x = 386,535,351,949,741,842,449,301,504 - Step 5: Solve for x
x = 386,535,351,949,741,842,449,301,504/20,647,491,731,856 - Step 6: Final answer
x = 18,720,692,903,989.66
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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.