Finding the Fourth Proportional to 57,538,627,842,380, 86,313,015,576,904 and 16,233,749,428,678
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Solution
The fourth proportional to 57,538,627,842,380, 86,313,015,576,904 and 16,233,749,428,678 is: 24,352,055,651,160.32
Step by Step Solution
- Step 1: Write the proportion equation
57,538,627,842,380 : 86,313,015,576,904 = 16,233,749,428,678 : x - Step 2: Convert to fraction form
57,538,627,842,380/86,313,015,576,904 = 16,233,749,428,678/x - Step 3: Cross multiply
57,538,627,842,380x = 86,313,015,576,904 × 16,233,749,428,678 - Step 4: Simplify right side
57,538,627,842,380x = 1,401,183,867,309,040,729,029,869,568 - Step 5: Solve for x
x = 1,401,183,867,309,040,729,029,869,568/57,538,627,842,380 - Step 6: Final answer
x = 24,352,055,651,160.32
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.