Finding the Fourth Proportional to 284,582,982,646.42, 426,858,761,285.97 and 208,083,820,874.70
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Solution
The fourth proportional to 284,582,982,646.42, 426,858,761,285.97 and 208,083,820,874.70 is: 312,114,242,377.53
Step by Step Solution
- Step 1: Write the proportion equation
284,582,982,646.42 : 426,858,761,285.97 = 208,083,820,874.70 : x - Step 2: Convert to fraction form
284,582,982,646.42/426,858,761,285.97 = 208,083,820,874.70/x - Step 3: Cross multiply
284,582,982,646.42x = 426,858,761,285.97 × 208,083,820,874.70 - Step 4: Simplify right side
284,582,982,646.42x = 88,822,402,022,226,106,777,600 - Step 5: Solve for x
x = 88,822,402,022,226,106,777,600/284,582,982,646.42 - Step 6: Final answer
x = 312,114,242,377.53
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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.