Finding the Fourth Proportional to 1,098,135,782.73, 1,647,202,283.06 and 280,248,102.09
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Solution
The fourth proportional to 1,098,135,782.73, 1,647,202,283.06 and 280,248,102.09 is: 420,371,798.14
Step by Step Solution
- Step 1: Write the proportion equation
1,098,135,782.73 : 1,647,202,283.06 = 280,248,102.09 : x - Step 2: Convert to fraction form
1,098,135,782.73/1,647,202,283.06 = 280,248,102.09/x - Step 3: Cross multiply
1,098,135,782.73x = 1,647,202,283.06 × 280,248,102.09 - Step 4: Simplify right side
1,098,135,782.73x = 461,625,313,584,478,720 - Step 5: Solve for x
x = 461,625,313,584,478,720/1,098,135,782.73 - Step 6: Final answer
x = 420,371,798.14
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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.