Finding the Fourth Proportional to 522,224,259,729.40, 783,694,206,647.70 and 182,263,437,703.08
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Solution
The fourth proportional to 522,224,259,729.40, 783,694,206,647.70 and 182,263,437,703.08 is: 273,520,039,619.78
Step by Step Solution
- Step 1: Write the proportion equation
522,224,259,729.40 : 783,694,206,647.70 = 182,263,437,703.08 : x - Step 2: Convert to fraction form
522,224,259,729.40/783,694,206,647.70 = 182,263,437,703.08/x - Step 3: Cross multiply
522,224,259,729.40x = 783,694,206,647.70 × 182,263,437,703.08 - Step 4: Simplify right side
522,224,259,729.40x = 142,838,800,211,597,747,814,400 - Step 5: Solve for x
x = 142,838,800,211,597,747,814,400/522,224,259,729.40 - Step 6: Final answer
x = 273,520,039,619.78
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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.