Finding the Fourth Proportional to 35,939,661,654,900, 49,592,548,930,095 and 20,119,873,754,734
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Solution
The fourth proportional to 35,939,661,654,900, 49,592,548,930,095 and 20,119,873,754,734 is: 27,763,083,393,216.67
Step by Step Solution
- Step 1: Write the proportion equation
35,939,661,654,900 : 49,592,548,930,095 = 20,119,873,754,734 : x - Step 2: Convert to fraction form
35,939,661,654,900/49,592,548,930,095 = 20,119,873,754,734/x - Step 3: Cross multiply
35,939,661,654,900x = 49,592,548,930,095 × 20,119,873,754,734 - Step 4: Simplify right side
35,939,661,654,900x = 997,795,823,648,980,151,922,851,840 - Step 5: Solve for x
x = 997,795,823,648,980,151,922,851,840/35,939,661,654,900 - Step 6: Final answer
x = 27,763,083,393,216.67
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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.