Finding the Fourth Proportional to 355,592,023,144.63, 490,704,295,297.87 and 201,264,389,198.74
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Solution
The fourth proportional to 355,592,023,144.63, 490,704,295,297.87 and 201,264,389,198.74 is: 277,737,670,819.90
Step by Step Solution
- Step 1: Write the proportion equation
355,592,023,144.63 : 490,704,295,297.87 = 201,264,389,198.74 : x - Step 2: Convert to fraction form
355,592,023,144.63/490,704,295,297.87 = 201,264,389,198.74/x - Step 3: Cross multiply
355,592,023,144.63x = 490,704,295,297.87 × 201,264,389,198.74 - Step 4: Simplify right side
355,592,023,144.63x = 98,761,300,270,323,947,536,384 - Step 5: Solve for x
x = 98,761,300,270,323,947,536,384/355,592,023,144.63 - Step 6: Final answer
x = 277,737,670,819.90
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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.