Finding the Fourth Proportional to 522,224,259,729.10, 783,694,206,647.30 and 182,263,437,702.80
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Solution
The fourth proportional to 522,224,259,729.10, 783,694,206,647.30 and 182,263,437,702.80 is: 273,520,039,619.38
Step by Step Solution
- Step 1: Write the proportion equation
522,224,259,729.10 : 783,694,206,647.30 = 182,263,437,702.80 : x - Step 2: Convert to fraction form
522,224,259,729.10/783,694,206,647.30 = 182,263,437,702.80/x - Step 3: Cross multiply
522,224,259,729.10x = 783,694,206,647.30 × 182,263,437,702.80 - Step 4: Simplify right side
522,224,259,729.10x = 142,838,800,211,305,438,380,032 - Step 5: Solve for x
x = 142,838,800,211,305,438,380,032/522,224,259,729.10 - Step 6: Final answer
x = 273,520,039,619.38
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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.