Finding the Fourth Proportional to 49,747,224,040,360, 74,631,013,450,646 and 17,106,746,079,283
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Solution
The fourth proportional to 49,747,224,040,360, 74,631,013,450,646 and 17,106,746,079,283 is: 25,663,618,852,460.43
Step by Step Solution
- Step 1: Write the proportion equation
49,747,224,040,360 : 74,631,013,450,646 = 17,106,746,079,283 : x - Step 2: Convert to fraction form
49,747,224,040,360/74,631,013,450,646 = 17,106,746,079,283/x - Step 3: Cross multiply
49,747,224,040,360x = 74,631,013,450,646 × 17,106,746,079,283 - Step 4: Simplify right side
49,747,224,040,360x = 1,276,693,796,739,755,346,115,952,640 - Step 5: Solve for x
x = 1,276,693,796,739,755,346,115,952,640/49,747,224,040,360 - Step 6: Final answer
x = 25,663,618,852,460.43
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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.