Finding the Fourth Proportional to 35,577,171,544,746, 49,093,802,324,684 and 19,966,442,612,965
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Solution
The fourth proportional to 35,577,171,544,746, 49,093,802,324,684 and 19,966,442,612,965 is: 27,552,178,664,208.90
Step by Step Solution
- Step 1: Write the proportion equation
35,577,171,544,746 : 49,093,802,324,684 = 19,966,442,612,965 : x - Step 2: Convert to fraction form
35,577,171,544,746/49,093,802,324,684 = 19,966,442,612,965/x - Step 3: Cross multiply
35,577,171,544,746x = 49,093,802,324,684 × 19,966,442,612,965 - Step 4: Simplify right side
35,577,171,544,746x = 980,228,586,768,050,774,685,515,776 - Step 5: Solve for x
x = 980,228,586,768,050,774,685,515,776/35,577,171,544,746 - Step 6: Final answer
x = 27,552,178,664,208.90
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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.