Finding the Fourth Proportional to 355,592,023,143.62, 490,704,295,296.50 and 201,264,389,197.76
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Solution
The fourth proportional to 355,592,023,143.62, 490,704,295,296.50 and 201,264,389,197.76 is: 277,737,670,818.56
Step by Step Solution
- Step 1: Write the proportion equation
355,592,023,143.62 : 490,704,295,296.50 = 201,264,389,197.76 : x - Step 2: Convert to fraction form
355,592,023,143.62/490,704,295,296.50 = 201,264,389,197.76/x - Step 3: Cross multiply
355,592,023,143.62x = 490,704,295,296.50 × 201,264,389,197.76 - Step 4: Simplify right side
355,592,023,143.62x = 98,761,300,269,567,328,649,216 - Step 5: Solve for x
x = 98,761,300,269,567,328,649,216/355,592,023,143.62 - Step 6: Final answer
x = 277,737,670,818.56
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1.5x scale
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.