Finding the Fourth Proportional to 27,648,442,318, 38,154,916,722.75 and 14,961,314,124.13
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Solution
The fourth proportional to 27,648,442,318, 38,154,916,722.75 and 14,961,314,124.13 is: 20,646,649,380.95
Step by Step Solution
- Step 1: Write the proportion equation
27,648,442,318 : 38,154,916,722.75 = 14,961,314,124.13 : x - Step 2: Convert to fraction form
27,648,442,318/38,154,916,722.75 = 14,961,314,124.13/x - Step 3: Cross multiply
27,648,442,318x = 38,154,916,722.75 × 14,961,314,124.13 - Step 4: Simplify right side
27,648,442,318x = 570,847,694,469,083,496,448 - Step 5: Solve for x
x = 570,847,694,469,083,496,448/27,648,442,318 - Step 6: Final answer
x = 20,646,649,380.95
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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.