Finding the Fourth Proportional to 31,091,142,551,060, 42,907,125,431,824 and 17,217,619,001,716
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Solution
The fourth proportional to 31,091,142,551,060, 42,907,125,431,824 and 17,217,619,001,716 is: 23,761,061,110,274.25
Step by Step Solution
- Step 1: Write the proportion equation
31,091,142,551,060 : 42,907,125,431,824 = 17,217,619,001,716 : x - Step 2: Convert to fraction form
31,091,142,551,060/42,907,125,431,824 = 17,217,619,001,716/x - Step 3: Cross multiply
31,091,142,551,060x = 42,907,125,431,824 × 17,217,619,001,716 - Step 4: Simplify right side
31,091,142,551,060x = 738,758,538,143,984,788,172,701,696 - Step 5: Solve for x
x = 738,758,538,143,984,788,172,701,696/31,091,142,551,060 - Step 6: Final answer
x = 23,761,061,110,274.25
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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.