Finding the Fourth Proportional to 117,922,068,304.20, 176,883,102,456.30 and 96,984,143,209.80
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Solution
The fourth proportional to 117,922,068,304.20, 176,883,102,456.30 and 96,984,143,209.80 is: 145,476,214,814.70
Step by Step Solution
- Step 1: Write the proportion equation
117,922,068,304.20 : 176,883,102,456.30 = 96,984,143,209.80 : x - Step 2: Convert to fraction form
117,922,068,304.20/176,883,102,456.30 = 96,984,143,209.80/x - Step 3: Cross multiply
117,922,068,304.20x = 176,883,102,456.30 × 96,984,143,209.80 - Step 4: Simplify right side
117,922,068,304.20x = 17,154,856,140,015,524,642,816 - Step 5: Solve for x
x = 17,154,856,140,015,524,642,816/117,922,068,304.20 - Step 6: Final answer
x = 145,476,214,814.70
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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.