Finding the Fourth Proportional to 4,523,682,311,556, 6,785,478,750,793.60 and 2,072,505,269,756.80
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Solution
The fourth proportional to 4,523,682,311,556, 6,785,478,750,793.60 and 2,072,505,269,756.80 is: 3,108,737,417,947.75
Step by Step Solution
- Step 1: Write the proportion equation
4,523,682,311,556 : 6,785,478,750,793.60 = 2,072,505,269,756.80 : x - Step 2: Convert to fraction form
4,523,682,311,556/6,785,478,750,793.60 = 2,072,505,269,756.80/x - Step 3: Cross multiply
4,523,682,311,556x = 6,785,478,750,793.60 × 2,072,505,269,756.80 - Step 4: Simplify right side
4,523,682,311,556x = 14,062,940,468,842,524,024,242,176 - Step 5: Solve for x
x = 14,062,940,468,842,524,024,242,176/4,523,682,311,556 - Step 6: Final answer
x = 3,108,737,417,947.75
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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.