Finding the Fourth Proportional to 57,278,427,275,339, 85,917,640,815,910 and 13,763,442,066,551
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Solution
The fourth proportional to 57,278,427,275,339, 85,917,640,815,910 and 13,763,442,066,551 is: 20,645,163,076,494.69
Step by Step Solution
- Step 1: Write the proportion equation
57,278,427,275,339 : 85,917,640,815,910 = 13,763,442,066,551 : x - Step 2: Convert to fraction form
57,278,427,275,339/85,917,640,815,910 = 13,763,442,066,551/x - Step 3: Cross multiply
57,278,427,275,339x = 85,917,640,815,910 × 13,763,442,066,551 - Step 4: Simplify right side
57,278,427,275,339x = 1,182,522,471,864,514,870,358,573,056 - Step 5: Solve for x
x = 1,182,522,471,864,514,870,358,573,056/57,278,427,275,339 - Step 6: Final answer
x = 20,645,163,076,494.69
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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.