Finding the Fourth Proportional to 199,728,158,624.91, 299,560,346,742.51 and 58,204,476,350.10
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Solution
The fourth proportional to 199,728,158,624.91, 299,560,346,742.51 and 58,204,476,350.10 is: 87,297,420,841.62
Step by Step Solution
- Step 1: Write the proportion equation
199,728,158,624.91 : 299,560,346,742.51 = 58,204,476,350.10 : x - Step 2: Convert to fraction form
199,728,158,624.91/299,560,346,742.51 = 58,204,476,350.10/x - Step 3: Cross multiply
199,728,158,624.91x = 299,560,346,742.51 × 58,204,476,350.10 - Step 4: Simplify right side
199,728,158,624.91x = 17,435,753,117,400,682,201,088 - Step 5: Solve for x
x = 17,435,753,117,400,682,201,088/199,728,158,624.91 - Step 6: Final answer
x = 87,297,420,841.62
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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.