Finding the Fourth Proportional to 1,160,081,430.44, 1,740,105,107.70 and 286,682,775.26
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Solution
The fourth proportional to 1,160,081,430.44, 1,740,105,107.70 and 286,682,775.26 is: 430,019,952.42
Step by Step Solution
- Step 1: Write the proportion equation
1,160,081,430.44 : 1,740,105,107.70 = 286,682,775.26 : x - Step 2: Convert to fraction form
1,160,081,430.44/1,740,105,107.70 = 286,682,775.26/x - Step 3: Cross multiply
1,160,081,430.44x = 1,740,105,107.70 × 286,682,775.26 - Step 4: Simplify right side
1,160,081,430.44x = 498,858,161,519,537,216 - Step 5: Solve for x
x = 498,858,161,519,537,216/1,160,081,430.44 - Step 6: Final answer
x = 430,019,952.42
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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.