Finding the Fourth Proportional to 4,094,489,207.75, 6,142,568,284.71 and 1,852,459,618.16
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Solution
The fourth proportional to 4,094,489,207.75, 6,142,568,284.71 and 1,852,459,618.16 is: 2,779,066,965.84
Step by Step Solution
- Step 1: Write the proportion equation
4,094,489,207.75 : 6,142,568,284.71 = 1,852,459,618.16 : x - Step 2: Convert to fraction form
4,094,489,207.75/6,142,568,284.71 = 1,852,459,618.16/x - Step 3: Cross multiply
4,094,489,207.75x = 6,142,568,284.71 × 1,852,459,618.16 - Step 4: Simplify right side
4,094,489,207.75x = 11,378,859,699,230,967,808 - Step 5: Solve for x
x = 11,378,859,699,230,967,808/4,094,489,207.75 - Step 6: Final answer
x = 2,779,066,965.84
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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.