Finding the Fourth Proportional to 591,176,709,118.68, 886,766,516,836.97 and 166,707,198,755.57
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Solution
The fourth proportional to 591,176,709,118.68, 886,766,516,836.97 and 166,707,198,755.57 is: 250,061,207,912.79
Step by Step Solution
- Step 1: Write the proportion equation
591,176,709,118.68 : 886,766,516,836.97 = 166,707,198,755.57 : x - Step 2: Convert to fraction form
591,176,709,118.68/886,766,516,836.97 = 166,707,198,755.57/x - Step 3: Cross multiply
591,176,709,118.68x = 886,766,516,836.97 × 166,707,198,755.57 - Step 4: Simplify right side
591,176,709,118.68x = 147,830,361,972,125,263,200,256 - Step 5: Solve for x
x = 147,830,361,972,125,263,200,256/591,176,709,118.68 - Step 6: Final answer
x = 250,061,207,912.79
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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.