Finding the Fourth Proportional to 777,955,998.10, 1,073,582,489.77 and 420,723,766.99
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Solution
The fourth proportional to 777,955,998.10, 1,073,582,489.77 and 420,723,766.99 is: 580,600,535.73
Step by Step Solution
- Step 1: Write the proportion equation
777,955,998.10 : 1,073,582,489.77 = 420,723,766.99 : x - Step 2: Convert to fraction form
777,955,998.10/1,073,582,489.77 = 420,723,766.99/x - Step 3: Cross multiply
777,955,998.10x = 1,073,582,489.77 × 420,723,766.99 - Step 4: Simplify right side
777,955,998.10x = 451,681,669,266,801,792 - Step 5: Solve for x
x = 451,681,669,266,801,792/777,955,998.10 - Step 6: Final answer
x = 580,600,535.73
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1.5x scale
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.