Finding the Fourth Proportional to 51,633,927,831,074, 77,464,476,311,152 and 18,555,765,810,755
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Solution
The fourth proportional to 51,633,927,831,074, 77,464,476,311,152 and 18,555,765,810,755 is: 27,838,530,622,445.89
Step by Step Solution
- Step 1: Write the proportion equation
51,633,927,831,074 : 77,464,476,311,152 = 18,555,765,810,755 : x - Step 2: Convert to fraction form
51,633,927,831,074/77,464,476,311,152 = 18,555,765,810,755/x - Step 3: Cross multiply
51,633,927,831,074x = 77,464,476,311,152 × 18,555,765,810,755 - Step 4: Simplify right side
51,633,927,831,074x = 1,437,412,681,082,514,794,392,584,192 - Step 5: Solve for x
x = 1,437,412,681,082,514,794,392,584,192/51,633,927,831,074 - Step 6: Final answer
x = 27,838,530,622,445.89
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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.