Finding the Fourth Proportional to 355,592,023,143.88, 490,704,295,296.85 and 201,264,389,198.01
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Solution
The fourth proportional to 355,592,023,143.88, 490,704,295,296.85 and 201,264,389,198.01 is: 277,737,670,818.90
Step by Step Solution
- Step 1: Write the proportion equation
355,592,023,143.88 : 490,704,295,296.85 = 201,264,389,198.01 : x - Step 2: Convert to fraction form
355,592,023,143.88/490,704,295,296.85 = 201,264,389,198.01/x - Step 3: Cross multiply
355,592,023,143.88x = 490,704,295,296.85 × 201,264,389,198.01 - Step 4: Simplify right side
355,592,023,143.88x = 98,761,300,269,760,451,182,592 - Step 5: Solve for x
x = 98,761,300,269,760,451,182,592/355,592,023,143.88 - Step 6: Final answer
x = 277,737,670,818.90
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.