Finding the Fourth Proportional to 8,284,470,354.22, 11,432,568,651.60 and 4,473,992,938.36
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Solution
The fourth proportional to 8,284,470,354.22, 11,432,568,651.60 and 4,473,992,938.36 is: 6,174,110,018.82
Step by Step Solution
- Step 1: Write the proportion equation
8,284,470,354.22 : 11,432,568,651.60 = 4,473,992,938.36 : x - Step 2: Convert to fraction form
8,284,470,354.22/11,432,568,651.60 = 4,473,992,938.36/x - Step 3: Cross multiply
8,284,470,354.22x = 11,432,568,651.60 × 4,473,992,938.36 - Step 4: Simplify right side
8,284,470,354.22x = 51,149,231,414,574,301,184 - Step 5: Solve for x
x = 51,149,231,414,574,301,184/8,284,470,354.22 - Step 6: Final answer
x = 6,174,110,018.82
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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.