Finding the Fourth Proportional to 2,524,468,138.96, 3,483,699,198.12 and 1,410,643,385.68
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Solution
The fourth proportional to 2,524,468,138.96, 3,483,699,198.12 and 1,410,643,385.68 is: 1,946,650,526.38
Step by Step Solution
- Step 1: Write the proportion equation
2,524,468,138.96 : 3,483,699,198.12 = 1,410,643,385.68 : x - Step 2: Convert to fraction form
2,524,468,138.96/3,483,699,198.12 = 1,410,643,385.68/x - Step 3: Cross multiply
2,524,468,138.96x = 3,483,699,198.12 × 1,410,643,385.68 - Step 4: Simplify right side
2,524,468,138.96x = 4,914,257,231,526,697,984 - Step 5: Solve for x
x = 4,914,257,231,526,697,984/2,524,468,138.96 - Step 6: Final answer
x = 1,946,650,526.38
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Double scale
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1.5x scale
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.