Finding the Fourth Proportional to 3,998,901,992.32, 5,998,749,078.11 and 1,478,491,068.25
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Solution
The fourth proportional to 3,998,901,992.32, 5,998,749,078.11 and 1,478,491,068.25 is: 2,217,883,046.32
Step by Step Solution
- Step 1: Write the proportion equation
3,998,901,992.32 : 5,998,749,078.11 = 1,478,491,068.25 : x - Step 2: Convert to fraction form
3,998,901,992.32/5,998,749,078.11 = 1,478,491,068.25/x - Step 3: Cross multiply
3,998,901,992.32x = 5,998,749,078.11 × 1,478,491,068.25 - Step 4: Simplify right side
3,998,901,992.32x = 8,869,096,932,661,476,352 - Step 5: Solve for x
x = 8,869,096,932,661,476,352/3,998,901,992.32 - Step 6: Final answer
x = 2,217,883,046.32
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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.