Finding the Fourth Proportional to 24,375,431,042.41, 33,638,367,540.02 and 13,524,698,727.94
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Solution
The fourth proportional to 24,375,431,042.41, 33,638,367,540.02 and 13,524,698,727.94 is: 18,664,235,552.88
Step by Step Solution
- Step 1: Write the proportion equation
24,375,431,042.41 : 33,638,367,540.02 = 13,524,698,727.94 : x - Step 2: Convert to fraction form
24,375,431,042.41/33,638,367,540.02 = 13,524,698,727.94/x - Step 3: Cross multiply
24,375,431,042.41x = 33,638,367,540.02 × 13,524,698,727.94 - Step 4: Simplify right side
24,375,431,042.41x = 454,948,786,678,486,728,704 - Step 5: Solve for x
x = 454,948,786,678,486,728,704/24,375,431,042.41 - Step 6: Final answer
x = 18,664,235,552.88
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.