Finding the Fourth Proportional to 20,012,158,993,970, 27,615,263,807,702 and 11,231,123,969,842
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Solution
The fourth proportional to 20,012,158,993,970, 27,615,263,807,702 and 11,231,123,969,842 is: 15,498,100,498,684.11
Step by Step Solution
- Step 1: Write the proportion equation
20,012,158,993,970 : 27,615,263,807,702 = 11,231,123,969,842 : x - Step 2: Convert to fraction form
20,012,158,993,970/27,615,263,807,702 = 11,231,123,969,842/x - Step 3: Cross multiply
20,012,158,993,970x = 27,615,263,807,702 × 11,231,123,969,842 - Step 4: Simplify right side
20,012,158,993,970x = 310,150,451,284,192,207,954,771,968 - Step 5: Solve for x
x = 310,150,451,284,192,207,954,771,968/20,012,158,993,970 - Step 6: Final answer
x = 15,498,100,498,684.11
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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.