Finding the Fourth Proportional to 379,685,452,198.83, 523,966,442,900.10 and 206,070,594,320.99
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Solution
The fourth proportional to 379,685,452,198.83, 523,966,442,900.10 and 206,070,594,320.99 is: 284,377,701,772.30
Step by Step Solution
- Step 1: Write the proportion equation
379,685,452,198.83 : 523,966,442,900.10 = 206,070,594,320.99 : x - Step 2: Convert to fraction form
379,685,452,198.83/523,966,442,900.10 = 206,070,594,320.99/x - Step 3: Cross multiply
379,685,452,198.83x = 523,966,442,900.10 × 206,070,594,320.99 - Step 4: Simplify right side
379,685,452,198.83x = 107,974,076,292,678,662,750,208 - Step 5: Solve for x
x = 107,974,076,292,678,662,750,208/379,685,452,198.83 - Step 6: Final answer
x = 284,377,701,772.30
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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.