Finding the Fourth Proportional to 78,067,835,198.48, 107,693,963,338.68 and 50,986,961,414.03
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Solution
The fourth proportional to 78,067,835,198.48, 107,693,963,338.68 and 50,986,961,414.03 is: 70,336,111,399.95
Step by Step Solution
- Step 1: Write the proportion equation
78,067,835,198.48 : 107,693,963,338.68 = 50,986,961,414.03 : x - Step 2: Convert to fraction form
78,067,835,198.48/107,693,963,338.68 = 50,986,961,414.03/x - Step 3: Cross multiply
78,067,835,198.48x = 107,693,963,338.68 × 50,986,961,414.03 - Step 4: Simplify right side
78,067,835,198.48x = 5,490,987,953,272,700,010,496 - Step 5: Solve for x
x = 5,490,987,953,272,700,010,496/78,067,835,198.48 - Step 6: Final answer
x = 70,336,111,399.95
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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.