Finding the Fourth Proportional to 812,149,516,793.10, 1,218,224,275,189.60 and 435,576,801,485.10
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Solution
The fourth proportional to 812,149,516,793.10, 1,218,224,275,189.60 and 435,576,801,485.10 is: 653,365,202,227.62
Step by Step Solution
- Step 1: Write the proportion equation
812,149,516,793.10 : 1,218,224,275,189.60 = 435,576,801,485.10 : x - Step 2: Convert to fraction form
812,149,516,793.10/1,218,224,275,189.60 = 435,576,801,485.10/x - Step 3: Cross multiply
812,149,516,793.10x = 1,218,224,275,189.60 × 435,576,801,485.10 - Step 4: Simplify right side
812,149,516,793.10x = 530,630,233,278,590,234,918,912 - Step 5: Solve for x
x = 530,630,233,278,590,234,918,912/812,149,516,793.10 - Step 6: Final answer
x = 653,365,202,227.62
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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.