Finding the Fourth Proportional to 49,131,682,055,878, 67,803,852,534,080 and 27,208,089,286,539
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Solution
The fourth proportional to 49,131,682,055,878, 67,803,852,534,080 and 27,208,089,286,539 is: 37,548,343,482,733.73
Step by Step Solution
- Step 1: Write the proportion equation
49,131,682,055,878 : 67,803,852,534,080 = 27,208,089,286,539 : x - Step 2: Convert to fraction form
49,131,682,055,878/67,803,852,534,080 = 27,208,089,286,539/x - Step 3: Cross multiply
49,131,682,055,878x = 67,803,852,534,080 × 27,208,089,286,539 - Step 4: Simplify right side
49,131,682,055,878x = 1,844,813,273,718,572,195,466,182,656 - Step 5: Solve for x
x = 1,844,813,273,718,572,195,466,182,656/49,131,682,055,878 - Step 6: Final answer
x = 37,548,343,482,733.73
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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.