Finding the Fourth Proportional to 61,345,334,461,386, 84,659,222,673,120 and 33,971,752,390,604
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Solution
The fourth proportional to 61,345,334,461,386, 84,659,222,673,120 and 33,971,752,390,604 is: 46,882,491,969,174.30
Step by Step Solution
- Step 1: Write the proportion equation
61,345,334,461,386 : 84,659,222,673,120 = 33,971,752,390,604 : x - Step 2: Convert to fraction form
61,345,334,461,386/84,659,222,673,120 = 33,971,752,390,604/x - Step 3: Cross multiply
61,345,334,461,386x = 84,659,222,673,120 × 33,971,752,390,604 - Step 4: Simplify right side
61,345,334,461,386x = 2,876,022,150,232,240,624,364,421,120 - Step 5: Solve for x
x = 2,876,022,150,232,240,624,364,421,120/61,345,334,461,386 - Step 6: Final answer
x = 46,882,491,969,174.30
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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.