Finding the Fourth Proportional to 49,131,682,055,984, 67,803,852,534,220 and 27,208,089,286,642
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Solution
The fourth proportional to 49,131,682,055,984, 67,803,852,534,220 and 27,208,089,286,642 is: 37,548,343,482,872.39
Step by Step Solution
- Step 1: Write the proportion equation
49,131,682,055,984 : 67,803,852,534,220 = 27,208,089,286,642 : x - Step 2: Convert to fraction form
49,131,682,055,984/67,803,852,534,220 = 27,208,089,286,642/x - Step 3: Cross multiply
49,131,682,055,984x = 67,803,852,534,220 × 27,208,089,286,642 - Step 4: Simplify right side
49,131,682,055,984x = 1,844,813,273,729,365,276,482,338,816 - Step 5: Solve for x
x = 1,844,813,273,729,365,276,482,338,816/49,131,682,055,984 - Step 6: Final answer
x = 37,548,343,482,872.39
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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.