Finding the Fourth Proportional to 21,752,789,985,612, 30,032,400,192,764 and 13,846,925,315,198
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Solution
The fourth proportional to 21,752,789,985,612, 30,032,400,192,764 and 13,846,925,315,198 is: 19,117,382,311,896.64
Step by Step Solution
- Step 1: Write the proportion equation
21,752,789,985,612 : 30,032,400,192,764 = 13,846,925,315,198 : x - Step 2: Convert to fraction form
21,752,789,985,612/30,032,400,192,764 = 13,846,925,315,198/x - Step 3: Cross multiply
21,752,789,985,612x = 30,032,400,192,764 × 13,846,925,315,198 - Step 4: Simplify right side
21,752,789,985,612x = 415,856,402,505,341,156,557,062,144 - Step 5: Solve for x
x = 415,856,402,505,341,156,557,062,144/21,752,789,985,612 - Step 6: Final answer
x = 19,117,382,311,896.64
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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.