Finding the Fourth Proportional to 17,653,478,904,069, 26,480,218,356,102 and 17,653,478,904,069
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Solution
The fourth proportional to 17,653,478,904,069, 26,480,218,356,102 and 17,653,478,904,069 is: 26,480,218,356,102
Step by Step Solution
- Step 1: Write the proportion equation
17,653,478,904,069 : 26,480,218,356,102 = 17,653,478,904,069 : x - Step 2: Convert to fraction form
17,653,478,904,069/26,480,218,356,102 = 17,653,478,904,069/x - Step 3: Cross multiply
17,653,478,904,069x = 26,480,218,356,102 × 17,653,478,904,069 - Step 4: Simplify right side
17,653,478,904,069x = 467,467,976,124,587,380,561,674,240 - Step 5: Solve for x
x = 467,467,976,124,587,380,561,674,240/17,653,478,904,069 - Step 6: Final answer
x = 26,480,218,356,102
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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.