Finding the Fourth Proportional to 57,278,427,275,338, 85,917,640,815,909 and 13,763,442,066,550
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Solution
The fourth proportional to 57,278,427,275,338, 85,917,640,815,909 and 13,763,442,066,550 is: 20,645,163,076,493.31
Step by Step Solution
- Step 1: Write the proportion equation
57,278,427,275,338 : 85,917,640,815,909 = 13,763,442,066,550 : x - Step 2: Convert to fraction form
57,278,427,275,338/85,917,640,815,909 = 13,763,442,066,550/x - Step 3: Cross multiply
57,278,427,275,338x = 85,917,640,815,909 × 13,763,442,066,550 - Step 4: Simplify right side
57,278,427,275,338x = 1,182,522,471,864,415,227,117,305,856 - Step 5: Solve for x
x = 1,182,522,471,864,415,227,117,305,856/57,278,427,275,338 - Step 6: Final answer
x = 20,645,163,076,493.31
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.