Finding the Fourth Proportional to 199,728,158,618.24, 299,560,346,732.46 and 58,204,476,343.42
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Solution
The fourth proportional to 199,728,158,618.24, 299,560,346,732.46 and 58,204,476,343.42 is: 87,297,420,831.59
Step by Step Solution
- Step 1: Write the proportion equation
199,728,158,618.24 : 299,560,346,732.46 = 58,204,476,343.42 : x - Step 2: Convert to fraction form
199,728,158,618.24/299,560,346,732.46 = 58,204,476,343.42/x - Step 3: Cross multiply
199,728,158,618.24x = 299,560,346,732.46 × 58,204,476,343.42 - Step 4: Simplify right side
199,728,158,618.24x = 17,435,753,114,815,262,883,840 - Step 5: Solve for x
x = 17,435,753,114,815,262,883,840/199,728,158,618.24 - Step 6: Final answer
x = 87,297,420,831.59
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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.