Finding the Fourth Proportional to 1,101,024,613.92, 1,651,284,546.24 and 314,063,287.68
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Solution
The fourth proportional to 1,101,024,613.92, 1,651,284,546.24 and 314,063,287.68 is: 471,022,942.57
Step by Step Solution
- Step 1: Write the proportion equation
1,101,024,613.92 : 1,651,284,546.24 = 314,063,287.68 : x - Step 2: Convert to fraction form
1,101,024,613.92/1,651,284,546.24 = 314,063,287.68/x - Step 3: Cross multiply
1,101,024,613.92x = 1,651,284,546.24 × 314,063,287.68 - Step 4: Simplify right side
1,101,024,613.92x = 518,607,853,487,311,424 - Step 5: Solve for x
x = 518,607,853,487,311,424/1,101,024,613.92 - Step 6: Final answer
x = 471,022,942.57
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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.