Finding the Fourth Proportional to 11,986,937,129,690, 16,541,985,481,524 and 6,506,040,067,337
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Solution
The fourth proportional to 11,986,937,129,690, 16,541,985,481,524 and 6,506,040,067,337 is: 8,978,341,937,702.76
Step by Step Solution
- Step 1: Write the proportion equation
11,986,937,129,690 : 16,541,985,481,524 = 6,506,040,067,337 : x - Step 2: Convert to fraction form
11,986,937,129,690/16,541,985,481,524 = 6,506,040,067,337/x - Step 3: Cross multiply
11,986,937,129,690x = 16,541,985,481,524 × 6,506,040,067,337 - Step 4: Simplify right side
11,986,937,129,690x = 107,622,820,336,102,075,726,299,136 - Step 5: Solve for x
x = 107,622,820,336,102,075,726,299,136/11,986,937,129,690 - Step 6: Final answer
x = 8,978,341,937,702.76
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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.