Finding the Fourth Proportional to 31,091,142,556,570, 42,907,125,439,432 and 17,217,619,007,223
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Solution
The fourth proportional to 31,091,142,556,570, 42,907,125,439,432 and 17,217,619,007,223 is: 23,761,061,117,876.34
Step by Step Solution
- Step 1: Write the proportion equation
31,091,142,556,570 : 42,907,125,439,432 = 17,217,619,007,223 : x - Step 2: Convert to fraction form
31,091,142,556,570/42,907,125,439,432 = 17,217,619,007,223/x - Step 3: Cross multiply
31,091,142,556,570x = 42,907,125,439,432 × 17,217,619,007,223 - Step 4: Simplify right side
31,091,142,556,570x = 738,758,538,511,265,927,192,903,680 - Step 5: Solve for x
x = 738,758,538,511,265,927,192,903,680/31,091,142,556,570 - Step 6: Final answer
x = 23,761,061,117,876.34
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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.