Finding the Fourth Proportional to 17,086,135,046,043, 23,580,887,752,846 and 10,149,400,677,600
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Solution
The fourth proportional to 17,086,135,046,043, 23,580,887,752,846 and 10,149,400,677,600 is: 14,007,373,668,310.78
Step by Step Solution
- Step 1: Write the proportion equation
17,086,135,046,043 : 23,580,887,752,846 = 10,149,400,677,600 : x - Step 2: Convert to fraction form
17,086,135,046,043/23,580,887,752,846 = 10,149,400,677,600/x - Step 3: Cross multiply
17,086,135,046,043x = 23,580,887,752,846 × 10,149,400,677,600 - Step 4: Simplify right side
17,086,135,046,043x = 239,331,878,137,144,729,944,457,216 - Step 5: Solve for x
x = 239,331,878,137,144,729,944,457,216/17,086,135,046,043 - Step 6: Final answer
x = 14,007,373,668,310.78
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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.