Finding the Fourth Proportional to 2,834,285,206.86, 4,253,324,122.49 and 1,176,192,436.14
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Solution
The fourth proportional to 2,834,285,206.86, 4,253,324,122.49 and 1,176,192,436.14 is: 1,765,075,599.74
Step by Step Solution
- Step 1: Write the proportion equation
2,834,285,206.86 : 4,253,324,122.49 = 1,176,192,436.14 : x - Step 2: Convert to fraction form
2,834,285,206.86/4,253,324,122.49 = 1,176,192,436.14/x - Step 3: Cross multiply
2,834,285,206.86x = 4,253,324,122.49 × 1,176,192,436.14 - Step 4: Simplify right side
2,834,285,206.86x = 5,002,727,661,318,660,096 - Step 5: Solve for x
x = 5,002,727,661,318,660,096/2,834,285,206.86 - Step 6: Final answer
x = 1,765,075,599.74
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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.