Finding the Fourth Proportional to 49,307,531,561,736, 68,044,552,552,568 and 27,383,938,792,398
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Solution
The fourth proportional to 49,307,531,561,736, 68,044,552,552,568 and 27,383,938,792,398 is: 37,789,923,835,928.24
Step by Step Solution
- Step 1: Write the proportion equation
49,307,531,561,736 : 68,044,552,552,568 = 27,383,938,792,398 : x - Step 2: Convert to fraction form
49,307,531,561,736/68,044,552,552,568 = 27,383,938,792,398/x - Step 3: Cross multiply
49,307,531,561,736x = 68,044,552,552,568 × 27,383,938,792,398 - Step 4: Simplify right side
49,307,531,561,736x = 1,863,327,862,255,631,249,432,379,392 - Step 5: Solve for x
x = 1,863,327,862,255,631,249,432,379,392/49,307,531,561,736 - Step 6: Final answer
x = 37,789,923,835,928.24
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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.