Finding the Fourth Proportional to 427,802,478,435.38, 590,381,578,486.70 and 235,121,481,034.46
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Solution
The fourth proportional to 427,802,478,435.38, 590,381,578,486.70 and 235,121,481,034.46 is: 324,475,425,240.49
Step by Step Solution
- Step 1: Write the proportion equation
427,802,478,435.38 : 590,381,578,486.70 = 235,121,481,034.46 : x - Step 2: Convert to fraction form
427,802,478,435.38/590,381,578,486.70 = 235,121,481,034.46/x - Step 3: Cross multiply
427,802,478,435.38x = 590,381,578,486.70 × 235,121,481,034.46 - Step 4: Simplify right side
427,802,478,435.38x = 138,811,391,109,255,172,980,736 - Step 5: Solve for x
x = 138,811,391,109,255,172,980,736/427,802,478,435.38 - Step 6: Final answer
x = 324,475,425,240.49
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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.