Finding the Fourth Proportional to 49,729,156,002,188, 68,621,629,870,020 and 27,505,975,546,906
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Solution
The fourth proportional to 49,729,156,002,188, 68,621,629,870,020 and 27,505,975,546,906 is: 37,955,698,928,623.63
Step by Step Solution
- Step 1: Write the proportion equation
49,729,156,002,188 : 68,621,629,870,020 = 27,505,975,546,906 : x - Step 2: Convert to fraction form
49,729,156,002,188/68,621,629,870,020 = 27,505,975,546,906/x - Step 3: Cross multiply
49,729,156,002,188x = 68,621,629,870,020 × 27,505,975,546,906 - Step 4: Simplify right side
49,729,156,002,188x = 1,887,504,873,193,604,438,940,450,816 - Step 5: Solve for x
x = 1,887,504,873,193,604,438,940,450,816/49,729,156,002,188 - Step 6: Final answer
x = 37,955,698,928,623.63
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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.