Finding the Fourth Proportional to 2,560,256,489.60, 3,840,384,734.40 and 2,459,927,427.20
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Solution
The fourth proportional to 2,560,256,489.60, 3,840,384,734.40 and 2,459,927,427.20 is: 3,689,891,140.80
Step by Step Solution
- Step 1: Write the proportion equation
2,560,256,489.60 : 3,840,384,734.40 = 2,459,927,427.20 : x - Step 2: Convert to fraction form
2,560,256,489.60/3,840,384,734.40 = 2,459,927,427.20/x - Step 3: Cross multiply
2,560,256,489.60x = 3,840,384,734.40 × 2,459,927,427.20 - Step 4: Simplify right side
2,560,256,489.60x = 9,447,067,739,150,747,648 - Step 5: Solve for x
x = 9,447,067,739,150,747,648/2,560,256,489.60 - Step 6: Final answer
x = 3,689,891,140.80
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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.