Finding the Fourth Proportional to 522,224,264,409.55, 783,694,213,658.20 and 182,263,442,383.05
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Solution
The fourth proportional to 522,224,264,409.55, 783,694,213,658.20 and 182,263,442,383.05 is: 273,520,046,638.43
Step by Step Solution
- Step 1: Write the proportion equation
522,224,264,409.55 : 783,694,213,658.20 = 182,263,442,383.05 : x - Step 2: Convert to fraction form
522,224,264,409.55/783,694,213,658.20 = 182,263,442,383.05/x - Step 3: Cross multiply
522,224,264,409.55x = 783,694,213,658.20 × 182,263,442,383.05 - Step 4: Simplify right side
522,224,264,409.55x = 142,838,805,157,020,996,468,736 - Step 5: Solve for x
x = 142,838,805,157,020,996,468,736/522,224,264,409.55 - Step 6: Final answer
x = 273,520,046,638.43
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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.