Finding the Fourth Proportional to 204,932,195,062.68, 306,997,957,692.18 and 141,178,279,392.12
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Solution
The fourth proportional to 204,932,195,062.68, 306,997,957,692.18 and 141,178,279,392.12 is: 211,491,627,416.67
Step by Step Solution
- Step 1: Write the proportion equation
204,932,195,062.68 : 306,997,957,692.18 = 141,178,279,392.12 : x - Step 2: Convert to fraction form
204,932,195,062.68/306,997,957,692.18 = 141,178,279,392.12/x - Step 3: Cross multiply
204,932,195,062.68x = 306,997,957,692.18 × 141,178,279,392.12 - Step 4: Simplify right side
204,932,195,062.68x = 43,341,443,443,876,824,088,576 - Step 5: Solve for x
x = 43,341,443,443,876,824,088,576/204,932,195,062.68 - Step 6: Final answer
x = 211,491,627,416.67
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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.