Finding the Fourth Proportional to 49,342,832,717,364, 68,093,726,181,696 and 27,122,556,566,055
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Solution
The fourth proportional to 49,342,832,717,364, 68,093,726,181,696 and 27,122,556,566,055 is: 37,429,467,228,511.69
Step by Step Solution
- Step 1: Write the proportion equation
49,342,832,717,364 : 68,093,726,181,696 = 27,122,556,566,055 : x - Step 2: Convert to fraction form
49,342,832,717,364/68,093,726,181,696 = 27,122,556,566,055/x - Step 3: Cross multiply
49,342,832,717,364x = 68,093,726,181,696 × 27,122,556,566,055 - Step 4: Simplify right side
49,342,832,717,364x = 1,846,875,940,156,509,976,111,611,904 - Step 5: Solve for x
x = 1,846,875,940,156,509,976,111,611,904/49,342,832,717,364 - Step 6: Final answer
x = 37,429,467,228,511.69
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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.