Finding the Fourth Proportional to 201,534,928,716.97, 278,116,322,034.73 and 110,083,444,538.99
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Solution
The fourth proportional to 201,534,928,716.97, 278,116,322,034.73 and 110,083,444,538.99 is: 151,914,126,781.94
Step by Step Solution
- Step 1: Write the proportion equation
201,534,928,716.97 : 278,116,322,034.73 = 110,083,444,538.99 : x - Step 2: Convert to fraction form
201,534,928,716.97/278,116,322,034.73 = 110,083,444,538.99/x - Step 3: Cross multiply
201,534,928,716.97x = 278,116,322,034.73 × 110,083,444,538.99 - Step 4: Simplify right side
201,534,928,716.97x = 30,616,002,712,098,083,700,736 - Step 5: Solve for x
x = 30,616,002,712,098,083,700,736/201,534,928,716.97 - Step 6: Final answer
x = 151,914,126,781.94
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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.