Finding the Fourth Proportional to 1,028,324,404.14, 1,542,000,351.24 and 398,351,511.60
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Solution
The fourth proportional to 1,028,324,404.14, 1,542,000,351.24 and 398,351,511.60 is: 597,338,902.33
Step by Step Solution
- Step 1: Write the proportion equation
1,028,324,404.14 : 1,542,000,351.24 = 398,351,511.60 : x - Step 2: Convert to fraction form
1,028,324,404.14/1,542,000,351.24 = 398,351,511.60/x - Step 3: Cross multiply
1,028,324,404.14x = 1,542,000,351.24 × 398,351,511.60 - Step 4: Simplify right side
1,028,324,404.14x = 614,258,170,804,184,960 - Step 5: Solve for x
x = 614,258,170,804,184,960/1,028,324,404.14 - Step 6: Final answer
x = 597,338,902.33
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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.