Finding the Fourth Proportional to 4,782,154,966.16, 7,175,304,183.40 and 2,568,782,261.20
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Solution
The fourth proportional to 4,782,154,966.16, 7,175,304,183.40 and 2,568,782,261.20 is: 3,854,286,244.48
Step by Step Solution
- Step 1: Write the proportion equation
4,782,154,966.16 : 7,175,304,183.40 = 2,568,782,261.20 : x - Step 2: Convert to fraction form
4,782,154,966.16/7,175,304,183.40 = 2,568,782,261.20/x - Step 3: Cross multiply
4,782,154,966.16x = 7,175,304,183.40 × 2,568,782,261.20 - Step 4: Simplify right side
4,782,154,966.16x = 18,431,794,105,032,069,120 - Step 5: Solve for x
x = 18,431,794,105,032,069,120/4,782,154,966.16 - Step 6: Final answer
x = 3,854,286,244.48
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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.