Finding the Fourth Proportional to 260,556,022,070.13, 390,610,192,398.35 and 90,553,524,169.56
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Solution
The fourth proportional to 260,556,022,070.13, 390,610,192,398.35 and 90,553,524,169.56 is: 135,752,492,754.52
Step by Step Solution
- Step 1: Write the proportion equation
260,556,022,070.13 : 390,610,192,398.35 = 90,553,524,169.56 : x - Step 2: Convert to fraction form
260,556,022,070.13/390,610,192,398.35 = 90,553,524,169.56/x - Step 3: Cross multiply
260,556,022,070.13x = 390,610,192,398.35 × 90,553,524,169.56 - Step 4: Simplify right side
260,556,022,070.13x = 35,371,129,498,220,466,536,448 - Step 5: Solve for x
x = 35,371,129,498,220,466,536,448/260,556,022,070.13 - Step 6: Final answer
x = 135,752,492,754.52
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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.