Finding the Fourth Proportional to 3,413,546,524,902.60, 5,120,620,797,275.70 and 963,086,208,855.14
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Solution
The fourth proportional to 3,413,546,524,902.60, 5,120,620,797,275.70 and 963,086,208,855.14 is: 1,444,714,239,180.83
Step by Step Solution
- Step 1: Write the proportion equation
3,413,546,524,902.60 : 5,120,620,797,275.70 = 963,086,208,855.14 : x - Step 2: Convert to fraction form
3,413,546,524,902.60/5,120,620,797,275.70 = 963,086,208,855.14/x - Step 3: Cross multiply
3,413,546,524,902.60x = 5,120,620,797,275.70 × 963,086,208,855.14 - Step 4: Simplify right side
3,413,546,524,902.60x = 4,931,599,270,633,038,044,725,248 - Step 5: Solve for x
x = 4,931,599,270,633,038,044,725,248/3,413,546,524,902.60 - Step 6: Final answer
x = 1,444,714,239,180.83
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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.