Finding the Fourth Proportional to 30,375,351,189,226, 41,921,578,222,120 and 18,043,378,978,662
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Solution
The fourth proportional to 30,375,351,189,226, 41,921,578,222,120 and 18,043,378,978,662 is: 24,901,997,627,392.99
Step by Step Solution
- Step 1: Write the proportion equation
30,375,351,189,226 : 41,921,578,222,120 = 18,043,378,978,662 : x - Step 2: Convert to fraction form
30,375,351,189,226/41,921,578,222,120 = 18,043,378,978,662/x - Step 3: Cross multiply
30,375,351,189,226x = 41,921,578,222,120 × 18,043,378,978,662 - Step 4: Simplify right side
30,375,351,189,226x = 756,406,923,245,334,669,266,255,872 - Step 5: Solve for x
x = 756,406,923,245,334,669,266,255,872/30,375,351,189,226 - Step 6: Final answer
x = 24,901,997,627,392.99
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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.