Finding the Fourth Proportional to 49,524,194,754,675, 68,343,595,190,289 and 27,301,004,394,165
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Solution
The fourth proportional to 49,524,194,754,675, 68,343,595,190,289 and 27,301,004,394,165 is: 37,675,499,861,145.77
Step by Step Solution
- Step 1: Write the proportion equation
49,524,194,754,675 : 68,343,595,190,289 = 27,301,004,394,165 : x - Step 2: Convert to fraction form
49,524,194,754,675/68,343,595,190,289 = 27,301,004,394,165/x - Step 3: Cross multiply
49,524,194,754,675x = 68,343,595,190,289 × 27,301,004,394,165 - Step 4: Simplify right side
49,524,194,754,675x = 1,865,848,792,603,113,836,632,866,816 - Step 5: Solve for x
x = 1,865,848,792,603,113,836,632,866,816/49,524,194,754,675 - Step 6: Final answer
x = 37,675,499,861,145.77
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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.