Finding the Fourth Proportional to 1,797,512,481,047.70, 2,695,996,292,465.20 and 489,215,112,897.14
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Solution
The fourth proportional to 1,797,512,481,047.70, 2,695,996,292,465.20 and 489,215,112,897.14 is: 733,748,524,416.30
Step by Step Solution
- Step 1: Write the proportion equation
1,797,512,481,047.70 : 2,695,996,292,465.20 = 489,215,112,897.14 : x - Step 2: Convert to fraction form
1,797,512,481,047.70/2,695,996,292,465.20 = 489,215,112,897.14/x - Step 3: Cross multiply
1,797,512,481,047.70x = 2,695,996,292,465.20 × 489,215,112,897.14 - Step 4: Simplify right side
1,797,512,481,047.70x = 1,318,922,130,588,633,745,326,080 - Step 5: Solve for x
x = 1,318,922,130,588,633,745,326,080/1,797,512,481,047.70 - Step 6: Final answer
x = 733,748,524,416.30
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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.