Finding the Fourth Proportional to 1,801,726,301.70, 2,702,589,452.55 and 1,414,742,775.30
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Solution
The fourth proportional to 1,801,726,301.70, 2,702,589,452.55 and 1,414,742,775.30 is: 2,122,114,162.95
Step by Step Solution
- Step 1: Write the proportion equation
1,801,726,301.70 : 2,702,589,452.55 = 1,414,742,775.30 : x - Step 2: Convert to fraction form
1,801,726,301.70/2,702,589,452.55 = 1,414,742,775.30/x - Step 3: Cross multiply
1,801,726,301.70x = 2,702,589,452.55 × 1,414,742,775.30 - Step 4: Simplify right side
1,801,726,301.70x = 3,823,468,902,597,094,912 - Step 5: Solve for x
x = 3,823,468,902,597,094,912/1,801,726,301.70 - Step 6: Final answer
x = 2,122,114,162.95
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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.