Finding the Fourth Proportional to 17,086,135,046,041, 23,580,887,752,843 and 10,149,400,677,598
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Solution
The fourth proportional to 17,086,135,046,041, 23,580,887,752,843 and 10,149,400,677,598 is: 14,007,373,668,307.88
Step by Step Solution
- Step 1: Write the proportion equation
17,086,135,046,041 : 23,580,887,752,843 = 10,149,400,677,598 : x - Step 2: Convert to fraction form
17,086,135,046,041/23,580,887,752,843 = 10,149,400,677,598/x - Step 3: Cross multiply
17,086,135,046,041x = 23,580,887,752,843 × 10,149,400,677,598 - Step 4: Simplify right side
17,086,135,046,041x = 239,331,878,137,067,111,295,483,904 - Step 5: Solve for x
x = 239,331,878,137,067,111,295,483,904/17,086,135,046,041 - Step 6: Final answer
x = 14,007,373,668,307.88
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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.