Finding the Fourth Proportional to 1,693,685,108.66, 2,540,245,880.12 and 512,984,871.56
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Solution
The fourth proportional to 1,693,685,108.66, 2,540,245,880.12 and 512,984,871.56 is: 769,391,960.69
Step by Step Solution
- Step 1: Write the proportion equation
1,693,685,108.66 : 2,540,245,880.12 = 512,984,871.56 : x - Step 2: Convert to fraction form
1,693,685,108.66/2,540,245,880.12 = 512,984,871.56/x - Step 3: Cross multiply
1,693,685,108.66x = 2,540,245,880.12 × 512,984,871.56 - Step 4: Simplify right side
1,693,685,108.66x = 1,303,107,706,544,177,408 - Step 5: Solve for x
x = 1,303,107,706,544,177,408/1,693,685,108.66 - Step 6: Final answer
x = 769,391,960.69
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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.