Finding the Fourth Proportional to 1,105,120,652.25, 1,656,863,759.57 and 668,324,229.06
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Solution
The fourth proportional to 1,105,120,652.25, 1,656,863,759.57 and 668,324,229.06 is: 1,001,992,128.65
Step by Step Solution
- Step 1: Write the proportion equation
1,105,120,652.25 : 1,656,863,759.57 = 668,324,229.06 : x - Step 2: Convert to fraction form
1,105,120,652.25/1,656,863,759.57 = 668,324,229.06/x - Step 3: Cross multiply
1,105,120,652.25x = 1,656,863,759.57 × 668,324,229.06 - Step 4: Simplify right side
1,105,120,652.25x = 1,107,322,194,767,471,104 - Step 5: Solve for x
x = 1,107,322,194,767,471,104/1,105,120,652.25 - Step 6: Final answer
x = 1,001,992,128.65
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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.