Finding the Fourth Proportional to 106,508,268,634.68, 146,981,489,959.24 and 57,679,468,142.84
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Solution
The fourth proportional to 106,508,268,634.68, 146,981,489,959.24 and 57,679,468,142.84 is: 79,597,708,951.31
Step by Step Solution
- Step 1: Write the proportion equation
106,508,268,634.68 : 146,981,489,959.24 = 57,679,468,142.84 : x - Step 2: Convert to fraction form
106,508,268,634.68/146,981,489,959.24 = 57,679,468,142.84/x - Step 3: Cross multiply
106,508,268,634.68x = 146,981,489,959.24 × 57,679,468,142.84 - Step 4: Simplify right side
106,508,268,634.68x = 8,477,814,167,691,139,743,744 - Step 5: Solve for x
x = 8,477,814,167,691,139,743,744/106,508,268,634.68 - Step 6: Final answer
x = 79,597,708,951.31
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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.