Finding the Fourth Proportional to 30,375,351,192,945, 41,921,578,227,258 and 18,043,378,982,382
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Solution
The fourth proportional to 30,375,351,192,945, 41,921,578,227,258 and 18,043,378,982,382 is: 24,901,997,632,530.20
Step by Step Solution
- Step 1: Write the proportion equation
30,375,351,192,945 : 41,921,578,227,258 = 18,043,378,982,382 : x - Step 2: Convert to fraction form
30,375,351,192,945/41,921,578,227,258 = 18,043,378,982,382/x - Step 3: Cross multiply
30,375,351,192,945x = 41,921,578,227,258 × 18,043,378,982,382 - Step 4: Simplify right side
30,375,351,192,945x = 756,406,923,493,989,911,082,565,632 - Step 5: Solve for x
x = 756,406,923,493,989,911,082,565,632/30,375,351,192,945 - Step 6: Final answer
x = 24,901,997,632,530.20
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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.