Finding the Fourth Proportional to 5,165,272,151.76, 7,747,857,168.48 and 2,366,446,801.44
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Solution
The fourth proportional to 5,165,272,151.76, 7,747,857,168.48 and 2,366,446,801.44 is: 3,549,646,809.63
Step by Step Solution
- Step 1: Write the proportion equation
5,165,272,151.76 : 7,747,857,168.48 = 2,366,446,801.44 : x - Step 2: Convert to fraction form
5,165,272,151.76/7,747,857,168.48 = 2,366,446,801.44/x - Step 3: Cross multiply
5,165,272,151.76x = 7,747,857,168.48 × 2,366,446,801.44 - Step 4: Simplify right side
5,165,272,151.76x = 18,334,891,814,363,469,824 - Step 5: Solve for x
x = 18,334,891,814,363,469,824/5,165,272,151.76 - Step 6: Final answer
x = 3,549,646,809.63
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1.5x scale
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.