Finding the Fourth Proportional to 32,365,098,116,720, 48,528,259,715,452 and 10,301,231,859,470
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Solution
The fourth proportional to 32,365,098,116,720, 48,528,259,715,452 and 10,301,231,859,470 is: 15,445,677,107,562.88
Step by Step Solution
- Step 1: Write the proportion equation
32,365,098,116,720 : 48,528,259,715,452 = 10,301,231,859,470 : x - Step 2: Convert to fraction form
32,365,098,116,720/48,528,259,715,452 = 10,301,231,859,470/x - Step 3: Cross multiply
32,365,098,116,720x = 48,528,259,715,452 × 10,301,231,859,470 - Step 4: Simplify right side
32,365,098,116,720x = 499,900,855,065,448,672,099,565,568 - Step 5: Solve for x
x = 499,900,855,065,448,672,099,565,568/32,365,098,116,720 - Step 6: Final answer
x = 15,445,677,107,562.88
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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.