Finding the Fourth Proportional to 35,939,661,654,901, 49,592,548,930,096 and 20,119,873,754,735
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Solution
The fourth proportional to 35,939,661,654,901, 49,592,548,930,096 and 20,119,873,754,735 is: 27,763,083,393,217.84
Step by Step Solution
- Step 1: Write the proportion equation
35,939,661,654,901 : 49,592,548,930,096 = 20,119,873,754,735 : x - Step 2: Convert to fraction form
35,939,661,654,901/49,592,548,930,096 = 20,119,873,754,735/x - Step 3: Cross multiply
35,939,661,654,901x = 49,592,548,930,096 × 20,119,873,754,735 - Step 4: Simplify right side
35,939,661,654,901x = 997,795,823,649,049,833,472,262,144 - Step 5: Solve for x
x = 997,795,823,649,049,833,472,262,144/35,939,661,654,901 - Step 6: Final answer
x = 27,763,083,393,217.84
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.