Finding the Fourth Proportional to 24,091,207,468,910, 33,245,978,892,081 and 13,686,635,733,878
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Solution
The fourth proportional to 24,091,207,468,910, 33,245,978,892,081 and 13,686,635,733,878 is: 18,887,621,274,248.11
Step by Step Solution
- Step 1: Write the proportion equation
24,091,207,468,910 : 33,245,978,892,081 = 13,686,635,733,878 : x - Step 2: Convert to fraction form
24,091,207,468,910/33,245,978,892,081 = 13,686,635,733,878/x - Step 3: Cross multiply
24,091,207,468,910x = 33,245,978,892,081 × 13,686,635,733,878 - Step 4: Simplify right side
24,091,207,468,910x = 455,025,602,712,109,548,277,071,872 - Step 5: Solve for x
x = 455,025,602,712,109,548,277,071,872/24,091,207,468,910 - Step 6: Final answer
x = 18,887,621,274,248.11
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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.