Finding the Fourth Proportional to 50,380,864,530, 69,525,135,332.16 and 27,517,997,479.68
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Solution
The fourth proportional to 50,380,864,530, 69,525,135,332.16 and 27,517,997,479.68 is: 37,974,586,515.99
Step by Step Solution
- Step 1: Write the proportion equation
50,380,864,530 : 69,525,135,332.16 = 27,517,997,479.68 : x - Step 2: Convert to fraction form
50,380,864,530/69,525,135,332.16 = 27,517,997,479.68/x - Step 3: Cross multiply
50,380,864,530x = 69,525,135,332.16 × 27,517,997,479.68 - Step 4: Simplify right side
50,380,864,530x = 1,913,192,498,844,789,899,264 - Step 5: Solve for x
x = 1,913,192,498,844,789,899,264/50,380,864,530 - Step 6: Final answer
x = 37,974,586,515.99
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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.