Finding the Fourth Proportional to 4,002,473,457,006.30, 5,523,027,420,528 and 2,244,694,354,796.50
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Solution
The fourth proportional to 4,002,473,457,006.30, 5,523,027,420,528 and 2,244,694,354,796.50 is: 3,097,461,758,439.33
Step by Step Solution
- Step 1: Write the proportion equation
4,002,473,457,006.30 : 5,523,027,420,528 = 2,244,694,354,796.50 : x - Step 2: Convert to fraction form
4,002,473,457,006.30/5,523,027,420,528 = 2,244,694,354,796.50/x - Step 3: Cross multiply
4,002,473,457,006.30x = 5,523,027,420,528 × 2,244,694,354,796.50 - Step 4: Simplify right side
4,002,473,457,006.30x = 12,397,508,472,245,475,591,847,936 - Step 5: Solve for x
x = 12,397,508,472,245,475,591,847,936/4,002,473,457,006.30 - Step 6: Final answer
x = 3,097,461,758,439.33
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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.