Finding the Fourth Proportional to 2,948,157,026.40, 4,422,235,539.60 and 2,289,542,195.10
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Solution
The fourth proportional to 2,948,157,026.40, 4,422,235,539.60 and 2,289,542,195.10 is: 3,434,313,292.65
Step by Step Solution
- Step 1: Write the proportion equation
2,948,157,026.40 : 4,422,235,539.60 = 2,289,542,195.10 : x - Step 2: Convert to fraction form
2,948,157,026.40/4,422,235,539.60 = 2,289,542,195.10/x - Step 3: Cross multiply
2,948,157,026.40x = 4,422,235,539.60 × 2,289,542,195.10 - Step 4: Simplify right side
2,948,157,026.40x = 10,124,894,864,585,017,344 - Step 5: Solve for x
x = 10,124,894,864,585,017,344/2,948,157,026.40 - Step 6: Final answer
x = 3,434,313,292.65
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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.