Finding the Fourth Proportional to 18,237,286,414,824, 27,360,559,994,448 and 8,442,420,883,778.80
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Solution
The fourth proportional to 18,237,286,414,824, 27,360,559,994,448 and 8,442,420,883,778.80 is: 12,665,774,821,700.07
Step by Step Solution
- Step 1: Write the proportion equation
18,237,286,414,824 : 27,360,559,994,448 = 8,442,420,883,778.80 : x - Step 2: Convert to fraction form
18,237,286,414,824/27,360,559,994,448 = 8,442,420,883,778.80/x - Step 3: Cross multiply
18,237,286,414,824x = 27,360,559,994,448 × 8,442,420,883,778.80 - Step 4: Simplify right side
18,237,286,414,824x = 230,989,363,089,010,542,635,909,120 - Step 5: Solve for x
x = 230,989,363,089,010,542,635,909,120/18,237,286,414,824 - Step 6: Final answer
x = 12,665,774,821,700.07
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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.