Finding the Fourth Proportional to 2,560,506,515.27, 3,533,576,622.70 and 1,431,523,843.60
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Solution
The fourth proportional to 2,560,506,515.27, 3,533,576,622.70 and 1,431,523,843.60 is: 1,975,546,306.33
Step by Step Solution
- Step 1: Write the proportion equation
2,560,506,515.27 : 3,533,576,622.70 = 1,431,523,843.60 : x - Step 2: Convert to fraction form
2,560,506,515.27/3,533,576,622.70 = 1,431,523,843.60/x - Step 3: Cross multiply
2,560,506,515.27x = 3,533,576,622.70 × 1,431,523,843.60 - Step 4: Simplify right side
2,560,506,515.27x = 5,058,399,188,569,594,880 - Step 5: Solve for x
x = 5,058,399,188,569,594,880/2,560,506,515.27 - Step 6: Final answer
x = 1,975,546,306.33
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1.5x scale
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.