Finding the Fourth Proportional to 1,536,431,481.09, 2,120,049,768.74 and 858,164,855.85
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Solution
The fourth proportional to 1,536,431,481.09, 2,120,049,768.74 and 858,164,855.85 is: 1,184,141,451.52
Step by Step Solution
- Step 1: Write the proportion equation
1,536,431,481.09 : 2,120,049,768.74 = 858,164,855.85 : x - Step 2: Convert to fraction form
1,536,431,481.09/2,120,049,768.74 = 858,164,855.85/x - Step 3: Cross multiply
1,536,431,481.09x = 2,120,049,768.74 × 858,164,855.85 - Step 4: Simplify right side
1,536,431,481.09x = 1,819,352,204,181,297,152 - Step 5: Solve for x
x = 1,819,352,204,181,297,152/1,536,431,481.09 - Step 6: Final answer
x = 1,184,141,451.52
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.