Finding the Fourth Proportional to 17,653,478,971,311, 26,480,218,456,966 and 17,653,478,971,311
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Solution
The fourth proportional to 17,653,478,971,311, 26,480,218,456,966 and 17,653,478,971,311 is: 26,480,218,456,966
Step by Step Solution
- Step 1: Write the proportion equation
17,653,478,971,311 : 26,480,218,456,966 = 17,653,478,971,311 : x - Step 2: Convert to fraction form
17,653,478,971,311/26,480,218,456,966 = 17,653,478,971,311/x - Step 3: Cross multiply
17,653,478,971,311x = 26,480,218,456,966 × 17,653,478,971,311 - Step 4: Simplify right side
17,653,478,971,311x = 467,467,979,685,770,715,314,782,208 - Step 5: Solve for x
x = 467,467,979,685,770,715,314,782,208/17,653,478,971,311 - Step 6: Final answer
x = 26,480,218,456,966
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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.