Finding the Fourth Proportional to 35,577,171,544,747, 49,093,802,324,685 and 19,966,442,612,966
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Solution
The fourth proportional to 35,577,171,544,747, 49,093,802,324,685 and 19,966,442,612,966 is: 27,552,178,664,210.07
Step by Step Solution
- Step 1: Write the proportion equation
35,577,171,544,747 : 49,093,802,324,685 = 19,966,442,612,966 : x - Step 2: Convert to fraction form
35,577,171,544,747/49,093,802,324,685 = 19,966,442,612,966/x - Step 3: Cross multiply
35,577,171,544,747x = 49,093,802,324,685 × 19,966,442,612,966 - Step 4: Simplify right side
35,577,171,544,747x = 980,228,586,768,119,906,479,112,192 - Step 5: Solve for x
x = 980,228,586,768,119,906,479,112,192/35,577,171,544,747 - Step 6: Final answer
x = 27,552,178,664,210.07
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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.