Finding the Fourth Proportional to 120,198,919,631.49, 180,304,177,722.30 and 39,522,836,845.79
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Solution
The fourth proportional to 120,198,919,631.49, 180,304,177,722.30 and 39,522,836,845.79 is: 59,286,161,810.61
Step by Step Solution
- Step 1: Write the proportion equation
120,198,919,631.49 : 180,304,177,722.30 = 39,522,836,845.79 : x - Step 2: Convert to fraction form
120,198,919,631.49/180,304,177,722.30 = 39,522,836,845.79/x - Step 3: Cross multiply
120,198,919,631.49x = 180,304,177,722.30 × 39,522,836,845.79 - Step 4: Simplify right side
120,198,919,631.49x = 7,126,132,598,732,786,499,584 - Step 5: Solve for x
x = 7,126,132,598,732,786,499,584/120,198,919,631.49 - Step 6: Final answer
x = 59,286,161,810.61
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1.5x scale
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.