Finding the Fourth Proportional to 4,199,661,445,212, 5,796,465,138,182 and 2,553,185,505,263
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Solution
The fourth proportional to 4,199,661,445,212, 5,796,465,138,182 and 2,553,185,505,263 is: 3,523,962,815,964.92
Step by Step Solution
- Step 1: Write the proportion equation
4,199,661,445,212 : 5,796,465,138,182 = 2,553,185,505,263 : x - Step 2: Convert to fraction form
4,199,661,445,212/5,796,465,138,182 = 2,553,185,505,263/x - Step 3: Cross multiply
4,199,661,445,212x = 5,796,465,138,182 × 2,553,185,505,263 - Step 4: Simplify right side
4,199,661,445,212x = 14,799,450,772,568,575,156,682,752 - Step 5: Solve for x
x = 14,799,450,772,568,575,156,682,752/4,199,661,445,212 - Step 6: Final answer
x = 3,523,962,815,964.92
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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.