Finding the Fourth Proportional to 120,198,919,629.71, 180,304,177,719.63 and 39,522,836,844.02
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Solution
The fourth proportional to 120,198,919,629.71, 180,304,177,719.63 and 39,522,836,844.02 is: 59,286,161,807.95
Step by Step Solution
- Step 1: Write the proportion equation
120,198,919,629.71 : 180,304,177,719.63 = 39,522,836,844.02 : x - Step 2: Convert to fraction form
120,198,919,629.71/180,304,177,719.63 = 39,522,836,844.02/x - Step 3: Cross multiply
120,198,919,629.71x = 180,304,177,719.63 × 39,522,836,844.02 - Step 4: Simplify right side
120,198,919,629.71x = 7,126,132,598,307,220,881,408 - Step 5: Solve for x
x = 7,126,132,598,307,220,881,408/120,198,919,629.71 - Step 6: Final answer
x = 59,286,161,807.95
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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.