Finding the Fourth Proportional to 11,569,536,820,463, 15,965,963,418,310 and 6,366,965,489,458.20
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Solution
The fourth proportional to 11,569,536,820,463, 15,965,963,418,310 and 6,366,965,489,458.20 is: 8,786,413,809,629.40
Step by Step Solution
- Step 1: Write the proportion equation
11,569,536,820,463 : 15,965,963,418,310 = 6,366,965,489,458.20 : x - Step 2: Convert to fraction form
11,569,536,820,463/15,965,963,418,310 = 6,366,965,489,458.20/x - Step 3: Cross multiply
11,569,536,820,463x = 15,965,963,418,310 × 6,366,965,489,458.20 - Step 4: Simplify right side
11,569,536,820,463x = 101,654,738,090,331,856,053,469,184 - Step 5: Solve for x
x = 101,654,738,090,331,856,053,469,184/11,569,536,820,463 - Step 6: Final answer
x = 8,786,413,809,629.40
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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.