Finding the Fourth Proportional to 53,231,842,383,614, 73,459,886,775,728 and 29,820,436,190,504
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Solution
The fourth proportional to 53,231,842,383,614, 73,459,886,775,728 and 29,820,436,190,504 is: 41,152,170,732,147.44
Step by Step Solution
- Step 1: Write the proportion equation
53,231,842,383,614 : 73,459,886,775,728 = 29,820,436,190,504 : x - Step 2: Convert to fraction form
53,231,842,383,614/73,459,886,775,728 = 29,820,436,190,504/x - Step 3: Cross multiply
53,231,842,383,614x = 73,459,886,775,728 × 29,820,436,190,504 - Step 4: Simplify right side
53,231,842,383,614x = 2,190,605,866,157,245,338,260,340,736 - Step 5: Solve for x
x = 2,190,605,866,157,245,338,260,340,736/53,231,842,383,614 - Step 6: Final answer
x = 41,152,170,732,147.44
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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.