Finding the Fourth Proportional to 4,625,483,743,378.20, 6,383,320,647,575.10 and 2,542,179,260,555
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Solution
The fourth proportional to 4,625,483,743,378.20, 6,383,320,647,575.10 and 2,542,179,260,555 is: 3,508,291,513,718.78
Step by Step Solution
- Step 1: Write the proportion equation
4,625,483,743,378.20 : 6,383,320,647,575.10 = 2,542,179,260,555 : x - Step 2: Convert to fraction form
4,625,483,743,378.20/6,383,320,647,575.10 = 2,542,179,260,555/x - Step 3: Cross multiply
4,625,483,743,378.20x = 6,383,320,647,575.10 × 2,542,179,260,555 - Step 4: Simplify right side
4,625,483,743,378.20x = 16,227,545,363,737,931,329,568,768 - Step 5: Solve for x
x = 16,227,545,363,737,931,329,568,768/4,625,483,743,378.20 - Step 6: Final answer
x = 3,508,291,513,718.78
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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.