Finding the Fourth Proportional to 17,674,342,579,912, 24,387,055,330,198 and 9,869,284,660,286
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Solution
The fourth proportional to 17,674,342,579,912, 24,387,055,330,198 and 9,869,284,660,286 is: 13,617,637,543,894.85
Step by Step Solution
- Step 1: Write the proportion equation
17,674,342,579,912 : 24,387,055,330,198 = 9,869,284,660,286 : x - Step 2: Convert to fraction form
17,674,342,579,912/24,387,055,330,198 = 9,869,284,660,286/x - Step 3: Cross multiply
17,674,342,579,912x = 24,387,055,330,198 × 9,869,284,660,286 - Step 4: Simplify right side
17,674,342,579,912x = 240,682,791,079,869,056,207,028,224 - Step 5: Solve for x
x = 240,682,791,079,869,056,207,028,224/17,674,342,579,912 - Step 6: Final answer
x = 13,617,637,543,894.85
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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.