Finding the Fourth Proportional to 1,098,135,783.73, 1,647,202,284.56 and 280,248,103.09
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Solution
The fourth proportional to 1,098,135,783.73, 1,647,202,284.56 and 280,248,103.09 is: 420,371,799.64
Step by Step Solution
- Step 1: Write the proportion equation
1,098,135,783.73 : 1,647,202,284.56 = 280,248,103.09 : x - Step 2: Convert to fraction form
1,098,135,783.73/1,647,202,284.56 = 280,248,103.09/x - Step 3: Cross multiply
1,098,135,783.73x = 1,647,202,284.56 × 280,248,103.09 - Step 4: Simplify right side
1,098,135,783.73x = 461,625,315,653,454,336 - Step 5: Solve for x
x = 461,625,315,653,454,336/1,098,135,783.73 - Step 6: Final answer
x = 420,371,799.64
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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.