Finding the Fourth Proportional to 36,705,007,972,774, 50,652,653,324,650 and 20,037,981,358,442
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Solution
The fourth proportional to 36,705,007,972,774, 50,652,653,324,650 and 20,037,981,358,442 is: 27,652,273,603,313.82
Step by Step Solution
- Step 1: Write the proportion equation
36,705,007,972,774 : 50,652,653,324,650 = 20,037,981,358,442 : x - Step 2: Convert to fraction form
36,705,007,972,774/50,652,653,324,650 = 20,037,981,358,442/x - Step 3: Cross multiply
36,705,007,972,774x = 50,652,653,324,650 × 20,037,981,358,442 - Step 4: Simplify right side
36,705,007,972,774x = 1,014,976,923,074,961,846,669,672,448 - Step 5: Solve for x
x = 1,014,976,923,074,961,846,669,672,448/36,705,007,972,774 - Step 6: Final answer
x = 27,652,273,603,313.82
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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.