Finding the Fourth Proportional to 655,121,948,107.18, 982,682,922,160.77 and 655,121,948,107.18
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Solution
The fourth proportional to 655,121,948,107.18, 982,682,922,160.77 and 655,121,948,107.18 is: 982,682,922,160.77
Step by Step Solution
- Step 1: Write the proportion equation
655,121,948,107.18 : 982,682,922,160.77 = 655,121,948,107.18 : x - Step 2: Convert to fraction form
655,121,948,107.18/982,682,922,160.77 = 655,121,948,107.18/x - Step 3: Cross multiply
655,121,948,107.18x = 982,682,922,160.77 × 655,121,948,107.18 - Step 4: Simplify right side
655,121,948,107.18x = 643,777,150,337,620,018,987,008 - Step 5: Solve for x
x = 643,777,150,337,620,018,987,008/655,121,948,107.18 - Step 6: Final answer
x = 982,682,922,160.77
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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.