Finding the Fourth Proportional to 824,132,278,251.75, 1,236,198,417,377.70 and 824,132,278,251.75
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Solution
The fourth proportional to 824,132,278,251.75, 1,236,198,417,377.70 and 824,132,278,251.75 is: 1,236,198,417,377.70
Step by Step Solution
- Step 1: Write the proportion equation
824,132,278,251.75 : 1,236,198,417,377.70 = 824,132,278,251.75 : x - Step 2: Convert to fraction form
824,132,278,251.75/1,236,198,417,377.70 = 824,132,278,251.75/x - Step 3: Cross multiply
824,132,278,251.75x = 1,236,198,417,377.70 × 824,132,278,251.75 - Step 4: Simplify right side
824,132,278,251.75x = 1,018,791,018,084,691,584,483,328 - Step 5: Solve for x
x = 1,018,791,018,084,691,584,483,328/824,132,278,251.75 - Step 6: Final answer
x = 1,236,198,417,377.70
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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.