Finding the Fourth Proportional to 17,653,478,904,006, 26,480,218,356,012 and 17,653,478,904,006
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Solution
The fourth proportional to 17,653,478,904,006, 26,480,218,356,012 and 17,653,478,904,006 is: 26,480,218,356,012
Step by Step Solution
- Step 1: Write the proportion equation
17,653,478,904,006 : 26,480,218,356,012 = 17,653,478,904,006 : x - Step 2: Convert to fraction form
17,653,478,904,006/26,480,218,356,012 = 17,653,478,904,006/x - Step 3: Cross multiply
17,653,478,904,006x = 26,480,218,356,012 × 17,653,478,904,006 - Step 4: Simplify right side
17,653,478,904,006x = 467,467,976,121,330,283,522,818,048 - Step 5: Solve for x
x = 467,467,976,121,330,283,522,818,048/17,653,478,904,006 - Step 6: Final answer
x = 26,480,218,356,012
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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.