Finding the Fourth Proportional to 1,467,588,014.40, 2,201,382,021.60 and 498,239,630.40
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Solution
The fourth proportional to 1,467,588,014.40, 2,201,382,021.60 and 498,239,630.40 is: 747,359,445.60
Step by Step Solution
- Step 1: Write the proportion equation
1,467,588,014.40 : 2,201,382,021.60 = 498,239,630.40 : x - Step 2: Convert to fraction form
1,467,588,014.40/2,201,382,021.60 = 498,239,630.40/x - Step 3: Cross multiply
1,467,588,014.40x = 2,201,382,021.60 × 498,239,630.40 - Step 4: Simplify right side
1,467,588,014.40x = 1,096,815,764,811,188,736 - Step 5: Solve for x
x = 1,096,815,764,811,188,736/1,467,588,014.40 - Step 6: Final answer
x = 747,359,445.60
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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.