Finding the Fourth Proportional to 13,543,578,034,824, 20,315,367,052,236 and 13,543,578,034,824
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Solution
The fourth proportional to 13,543,578,034,824, 20,315,367,052,236 and 13,543,578,034,824 is: 20,315,367,052,236
Step by Step Solution
- Step 1: Write the proportion equation
13,543,578,034,824 : 20,315,367,052,236 = 13,543,578,034,824 : x - Step 2: Convert to fraction form
13,543,578,034,824/20,315,367,052,236 = 13,543,578,034,824/x - Step 3: Cross multiply
13,543,578,034,824x = 20,315,367,052,236 × 13,543,578,034,824 - Step 4: Simplify right side
13,543,578,034,824x = 275,142,758,978,050,678,195,224,576 - Step 5: Solve for x
x = 275,142,758,978,050,678,195,224,576/13,543,578,034,824 - Step 6: Final answer
x = 20,315,367,052,236
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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.