Finding the Fourth Proportional to 117,922,068,216.20, 176,883,102,324.30 and 96,984,143,121.80
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Solution
The fourth proportional to 117,922,068,216.20, 176,883,102,324.30 and 96,984,143,121.80 is: 145,476,214,682.70
Step by Step Solution
- Step 1: Write the proportion equation
117,922,068,216.20 : 176,883,102,324.30 = 96,984,143,121.80 : x - Step 2: Convert to fraction form
117,922,068,216.20/176,883,102,324.30 = 96,984,143,121.80/x - Step 3: Cross multiply
117,922,068,216.20x = 176,883,102,324.30 × 96,984,143,121.80 - Step 4: Simplify right side
117,922,068,216.20x = 17,154,856,111,647,905,284,096 - Step 5: Solve for x
x = 17,154,856,111,647,905,284,096/117,922,068,216.20 - Step 6: Final answer
x = 145,476,214,682.70
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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.