Finding the Fourth Proportional to 4,161,104,118.40, 6,241,656,177.60 and 3,780,167,209.60
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Solution
The fourth proportional to 4,161,104,118.40, 6,241,656,177.60 and 3,780,167,209.60 is: 5,670,250,814.40
Step by Step Solution
- Step 1: Write the proportion equation
4,161,104,118.40 : 6,241,656,177.60 = 3,780,167,209.60 : x - Step 2: Convert to fraction form
4,161,104,118.40/6,241,656,177.60 = 3,780,167,209.60/x - Step 3: Cross multiply
4,161,104,118.40x = 6,241,656,177.60 × 3,780,167,209.60 - Step 4: Simplify right side
4,161,104,118.40x = 23,594,504,016,160,796,672 - Step 5: Solve for x
x = 23,594,504,016,160,796,672/4,161,104,118.40 - Step 6: Final answer
x = 5,670,250,814.40
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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.