Finding the Fourth Proportional to 4,625,483,743,461, 6,383,320,647,688.20 and 2,542,179,260,637.20
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Solution
The fourth proportional to 4,625,483,743,461, 6,383,320,647,688.20 and 2,542,179,260,637.20 is: 3,508,291,513,831.58
Step by Step Solution
- Step 1: Write the proportion equation
4,625,483,743,461 : 6,383,320,647,688.20 = 2,542,179,260,637.20 : x - Step 2: Convert to fraction form
4,625,483,743,461/6,383,320,647,688.20 = 2,542,179,260,637.20/x - Step 3: Cross multiply
4,625,483,743,461x = 6,383,320,647,688.20 × 2,542,179,260,637.20 - Step 4: Simplify right side
4,625,483,743,461x = 16,227,545,364,550,163,332,333,568 - Step 5: Solve for x
x = 16,227,545,364,550,163,332,333,568/4,625,483,743,461 - Step 6: Final answer
x = 3,508,291,513,831.58
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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.