Finding the Fourth Proportional to 12,682,780,452,012, 19,024,170,678,022 and 12,682,780,452,012
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Solution
The fourth proportional to 12,682,780,452,012, 19,024,170,678,022 and 12,682,780,452,012 is: 19,024,170,678,022
Step by Step Solution
- Step 1: Write the proportion equation
12,682,780,452,012 : 19,024,170,678,022 = 12,682,780,452,012 : x - Step 2: Convert to fraction form
12,682,780,452,012/19,024,170,678,022 = 12,682,780,452,012/x - Step 3: Cross multiply
12,682,780,452,012x = 19,024,170,678,022 × 12,682,780,452,012 - Step 4: Simplify right side
12,682,780,452,012x = 241,279,379,990,957,312,876,478,464 - Step 5: Solve for x
x = 241,279,379,990,957,312,876,478,464/12,682,780,452,012 - Step 6: Final answer
x = 19,024,170,678,022
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.