Finding the Fourth Proportional to 284,278,104.68, 426,425,844.01 and 97,529,428.09
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Solution
The fourth proportional to 284,278,104.68, 426,425,844.01 and 97,529,428.09 is: 146,297,122.44
Step by Step Solution
- Step 1: Write the proportion equation
284,278,104.68 : 426,425,844.01 = 97,529,428.09 : x - Step 2: Convert to fraction form
284,278,104.68/426,425,844.01 = 97,529,428.09/x - Step 3: Cross multiply
284,278,104.68x = 426,425,844.01 × 97,529,428.09 - Step 4: Simplify right side
284,278,104.68x = 41,589,068,688,363,208 - Step 5: Solve for x
x = 41,589,068,688,363,208/284,278,104.68 - Step 6: Final answer
x = 146,297,122.44
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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.