Finding the Fourth Proportional to 31,091,142,556,534, 42,907,125,439,378 and 17,217,619,007,185
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Solution
The fourth proportional to 31,091,142,556,534, 42,907,125,439,378 and 17,217,619,007,185 is: 23,761,061,117,821.51
Step by Step Solution
- Step 1: Write the proportion equation
31,091,142,556,534 : 42,907,125,439,378 = 17,217,619,007,185 : x - Step 2: Convert to fraction form
31,091,142,556,534/42,907,125,439,378 = 17,217,619,007,185/x - Step 3: Cross multiply
31,091,142,556,534x = 42,907,125,439,378 × 17,217,619,007,185 - Step 4: Simplify right side
31,091,142,556,534x = 738,758,538,508,705,714,367,627,264 - Step 5: Solve for x
x = 738,758,538,508,705,714,367,627,264/31,091,142,556,534 - Step 6: Final answer
x = 23,761,061,117,821.51
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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.