Finding the Fourth Proportional to 1,660,827,230.40, 2,491,240,845.60 and 970,379,083.20
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Solution
The fourth proportional to 1,660,827,230.40, 2,491,240,845.60 and 970,379,083.20 is: 1,455,568,624.80
Step by Step Solution
- Step 1: Write the proportion equation
1,660,827,230.40 : 2,491,240,845.60 = 970,379,083.20 : x - Step 2: Convert to fraction form
1,660,827,230.40/2,491,240,845.60 = 970,379,083.20/x - Step 3: Cross multiply
1,660,827,230.40x = 2,491,240,845.60 × 970,379,083.20 - Step 4: Simplify right side
1,660,827,230.40x = 2,417,448,007,783,720,960 - Step 5: Solve for x
x = 2,417,448,007,783,720,960/1,660,827,230.40 - Step 6: Final answer
x = 1,455,568,624.80
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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.