Finding the Fourth Proportional to 4,857,984,043.20, 7,286,976,064.80 and 2,409,103,915.20
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Solution
The fourth proportional to 4,857,984,043.20, 7,286,976,064.80 and 2,409,103,915.20 is: 3,613,655,872.80
Step by Step Solution
- Step 1: Write the proportion equation
4,857,984,043.20 : 7,286,976,064.80 = 2,409,103,915.20 : x - Step 2: Convert to fraction form
4,857,984,043.20/7,286,976,064.80 = 2,409,103,915.20/x - Step 3: Cross multiply
4,857,984,043.20x = 7,286,976,064.80 × 2,409,103,915.20 - Step 4: Simplify right side
4,857,984,043.20x = 17,555,082,567,678,367,744 - Step 5: Solve for x
x = 17,555,082,567,678,367,744/4,857,984,043.20 - Step 6: Final answer
x = 3,613,655,872.80
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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.