Finding the Fourth Proportional to 814,541,597,546.70, 1,221,812,396,320 and 814,541,597,546.70
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Solution
The fourth proportional to 814,541,597,546.70, 1,221,812,396,320 and 814,541,597,546.70 is: 1,221,812,396,320
Step by Step Solution
- Step 1: Write the proportion equation
814,541,597,546.70 : 1,221,812,396,320 = 814,541,597,546.70 : x - Step 2: Convert to fraction form
814,541,597,546.70/1,221,812,396,320 = 814,541,597,546.70/x - Step 3: Cross multiply
814,541,597,546.70x = 1,221,812,396,320 × 814,541,597,546.70 - Step 4: Simplify right side
814,541,597,546.70x = 995,217,021,200,854,549,528,576 - Step 5: Solve for x
x = 995,217,021,200,854,549,528,576/814,541,597,546.70 - Step 6: Final answer
x = 1,221,812,396,320
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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.