Finding the Fourth Proportional to 2,070,995,410.44, 3,106,493,156.85 and 497,102,716.43
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Solution
The fourth proportional to 2,070,995,410.44, 3,106,493,156.85 and 497,102,716.43 is: 745,654,084.52
Step by Step Solution
- Step 1: Write the proportion equation
2,070,995,410.44 : 3,106,493,156.85 = 497,102,716.43 : x - Step 2: Convert to fraction form
2,070,995,410.44/3,106,493,156.85 = 497,102,716.43/x - Step 3: Cross multiply
2,070,995,410.44x = 3,106,493,156.85 × 497,102,716.43 - Step 4: Simplify right side
2,070,995,410.44x = 1,544,246,186,825,808,640 - Step 5: Solve for x
x = 1,544,246,186,825,808,640/2,070,995,410.44 - Step 6: Final answer
x = 745,654,084.52
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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.