Finding the Fourth Proportional to 49,729,156,002,189, 68,621,629,870,012 and 27,505,975,546,905
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Solution
The fourth proportional to 49,729,156,002,189, 68,621,629,870,012 and 27,505,975,546,905 is: 37,955,698,928,617.06
Step by Step Solution
- Step 1: Write the proportion equation
49,729,156,002,189 : 68,621,629,870,012 = 27,505,975,546,905 : x - Step 2: Convert to fraction form
49,729,156,002,189/68,621,629,870,012 = 27,505,975,546,905/x - Step 3: Cross multiply
49,729,156,002,189x = 68,621,629,870,012 × 27,505,975,546,905 - Step 4: Simplify right side
49,729,156,002,189x = 1,887,504,873,193,315,817,138,159,616 - Step 5: Solve for x
x = 1,887,504,873,193,315,817,138,159,616/49,729,156,002,189 - Step 6: Final answer
x = 37,955,698,928,617.06
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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.