Finding the Fourth Proportional to 4,625,483,743,310, 6,383,320,647,480.40 and 2,542,179,260,487.20
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Solution
The fourth proportional to 4,625,483,743,310, 6,383,320,647,480.40 and 2,542,179,260,487.20 is: 3,508,291,513,624.90
Step by Step Solution
- Step 1: Write the proportion equation
4,625,483,743,310 : 6,383,320,647,480.40 = 2,542,179,260,487.20 : x - Step 2: Convert to fraction form
4,625,483,743,310/6,383,320,647,480.40 = 2,542,179,260,487.20/x - Step 3: Cross multiply
4,625,483,743,310x = 6,383,320,647,480.40 × 2,542,179,260,487.20 - Step 4: Simplify right side
4,625,483,743,310x = 16,227,545,363,064,401,000,660,992 - Step 5: Solve for x
x = 16,227,545,363,064,401,000,660,992/4,625,483,743,310 - Step 6: Final answer
x = 3,508,291,513,624.90
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.