Finding the Fourth Proportional to 3,184,985,347.85, 4,397,165,182.35 and 2,831,585,220.52
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Solution
The fourth proportional to 3,184,985,347.85, 4,397,165,182.35 and 2,831,585,220.52 is: 3,909,263,805.85
Step by Step Solution
- Step 1: Write the proportion equation
3,184,985,347.85 : 4,397,165,182.35 = 2,831,585,220.52 : x - Step 2: Convert to fraction form
3,184,985,347.85/4,397,165,182.35 = 2,831,585,220.52/x - Step 3: Cross multiply
3,184,985,347.85x = 4,397,165,182.35 × 2,831,585,220.52 - Step 4: Simplify right side
3,184,985,347.85x = 12,450,947,942,527,391,744 - Step 5: Solve for x
x = 12,450,947,942,527,391,744/3,184,985,347.85 - Step 6: Final answer
x = 3,909,263,805.85
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.