Finding the Fourth Proportional to 272,207,585,233.20, 408,311,377,849.80 and 272,207,585,233.20
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Solution
The fourth proportional to 272,207,585,233.20, 408,311,377,849.80 and 272,207,585,233.20 is: 408,311,377,849.80
Step by Step Solution
- Step 1: Write the proportion equation
272,207,585,233.20 : 408,311,377,849.80 = 272,207,585,233.20 : x - Step 2: Convert to fraction form
272,207,585,233.20/408,311,377,849.80 = 272,207,585,233.20/x - Step 3: Cross multiply
272,207,585,233.20x = 408,311,377,849.80 × 272,207,585,233.20 - Step 4: Simplify right side
272,207,585,233.20x = 111,145,454,187,734,764,617,728 - Step 5: Solve for x
x = 111,145,454,187,734,764,617,728/272,207,585,233.20 - Step 6: Final answer
x = 408,311,377,849.80
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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.