Finding the Fourth Proportional to 49,729,156,002,190, 68,621,629,870,024 and 27,505,975,546,906
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Solution
The fourth proportional to 49,729,156,002,190, 68,621,629,870,024 and 27,505,975,546,906 is: 37,955,698,928,624.31
Step by Step Solution
- Step 1: Write the proportion equation
49,729,156,002,190 : 68,621,629,870,024 = 27,505,975,546,906 : x - Step 2: Convert to fraction form
49,729,156,002,190/68,621,629,870,024 = 27,505,975,546,906/x - Step 3: Cross multiply
49,729,156,002,190x = 68,621,629,870,024 × 27,505,975,546,906 - Step 4: Simplify right side
49,729,156,002,190x = 1,887,504,873,193,714,390,103,228,416 - Step 5: Solve for x
x = 1,887,504,873,193,714,390,103,228,416/49,729,156,002,190 - Step 6: Final answer
x = 37,955,698,928,624.31
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.