Finding the Fourth Proportional to 3,195,577,744,115.20, 4,792,882,297,761.70 and 869,715,756,292.06
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Solution
The fourth proportional to 3,195,577,744,115.20, 4,792,882,297,761.70 and 869,715,756,292.06 is: 1,304,441,821,230.30
Step by Step Solution
- Step 1: Write the proportion equation
3,195,577,744,115.20 : 4,792,882,297,761.70 = 869,715,756,292.06 : x - Step 2: Convert to fraction form
3,195,577,744,115.20/4,792,882,297,761.70 = 869,715,756,292.06/x - Step 3: Cross multiply
3,195,577,744,115.20x = 4,792,882,297,761.70 × 869,715,756,292.06 - Step 4: Simplify right side
3,195,577,744,115.20x = 4,168,445,252,416,643,885,170,688 - Step 5: Solve for x
x = 4,168,445,252,416,643,885,170,688/3,195,577,744,115.20 - Step 6: Final answer
x = 1,304,441,821,230.30
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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.