Finding the Fourth Proportional to 4,160,257,122.96, 5,741,518,037.37 and 2,281,025,613.48
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Solution
The fourth proportional to 4,160,257,122.96, 5,741,518,037.37 and 2,281,025,613.48 is: 3,148,014,489.59
Step by Step Solution
- Step 1: Write the proportion equation
4,160,257,122.96 : 5,741,518,037.37 = 2,281,025,613.48 : x - Step 2: Convert to fraction form
4,160,257,122.96/5,741,518,037.37 = 2,281,025,613.48/x - Step 3: Cross multiply
4,160,257,122.96x = 5,741,518,037.37 × 2,281,025,613.48 - Step 4: Simplify right side
4,160,257,122.96x = 13,096,549,703,498,389,504 - Step 5: Solve for x
x = 13,096,549,703,498,389,504/4,160,257,122.96 - Step 6: Final answer
x = 3,148,014,489.59
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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.