Finding the Fourth Proportional to 17,086,135,046,121, 23,580,887,752,956 and 10,149,400,677,678
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Solution
The fourth proportional to 17,086,135,046,121, 23,580,887,752,956 and 10,149,400,677,678 is: 14,007,373,668,419.83
Step by Step Solution
- Step 1: Write the proportion equation
17,086,135,046,121 : 23,580,887,752,956 = 10,149,400,677,678 : x - Step 2: Convert to fraction form
17,086,135,046,121/23,580,887,752,956 = 10,149,400,677,678/x - Step 3: Cross multiply
17,086,135,046,121x = 23,580,887,752,956 × 10,149,400,677,678 - Step 4: Simplify right side
17,086,135,046,121x = 239,331,878,140,100,492,077,826,048 - Step 5: Solve for x
x = 239,331,878,140,100,492,077,826,048/17,086,135,046,121 - Step 6: Final answer
x = 14,007,373,668,419.83
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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.