Finding the Fourth Proportional to 610,906,198,163.75, 916,359,297,245.70 and 610,906,198,163.75
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Solution
The fourth proportional to 610,906,198,163.75, 916,359,297,245.70 and 610,906,198,163.75 is: 916,359,297,245.70
Step by Step Solution
- Step 1: Write the proportion equation
610,906,198,163.75 : 916,359,297,245.70 = 610,906,198,163.75 : x - Step 2: Convert to fraction form
610,906,198,163.75/916,359,297,245.70 = 610,906,198,163.75/x - Step 3: Cross multiply
610,906,198,163.75x = 916,359,297,245.70 × 610,906,198,163.75 - Step 4: Simplify right side
610,906,198,163.75x = 559,809,574,432,376,245,714,944 - Step 5: Solve for x
x = 559,809,574,432,376,245,714,944/610,906,198,163.75 - Step 6: Final answer
x = 916,359,297,245.70
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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.