Finding the Fourth Proportional to 25,880,062,975,936, 35,715,609,565,278 and 14,331,833,039,824
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Solution
The fourth proportional to 25,880,062,975,936, 35,715,609,565,278 and 14,331,833,039,824 is: 19,778,551,299,548.86
Step by Step Solution
- Step 1: Write the proportion equation
25,880,062,975,936 : 35,715,609,565,278 = 14,331,833,039,824 : x - Step 2: Convert to fraction form
25,880,062,975,936/35,715,609,565,278 = 14,331,833,039,824/x - Step 3: Cross multiply
25,880,062,975,936x = 35,715,609,565,278 × 14,331,833,039,824 - Step 4: Simplify right side
25,880,062,975,936x = 511,870,153,205,105,347,218,374,656 - Step 5: Solve for x
x = 511,870,153,205,105,347,218,374,656/25,880,062,975,936 - Step 6: Final answer
x = 19,778,551,299,548.86
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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.