Finding the Fourth Proportional to 37,835,309,383,506, 56,753,057,077,432 and 10,669,260,720,266
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Solution
The fourth proportional to 37,835,309,383,506, 56,753,057,077,432 and 10,669,260,720,266 is: 16,003,917,306,282.90
Step by Step Solution
- Step 1: Write the proportion equation
37,835,309,383,506 : 56,753,057,077,432 = 10,669,260,720,266 : x - Step 2: Convert to fraction form
37,835,309,383,506/56,753,057,077,432 = 10,669,260,720,266/x - Step 3: Cross multiply
37,835,309,383,506x = 56,753,057,077,432 × 10,669,260,720,266 - Step 4: Simplify right side
37,835,309,383,506x = 605,513,162,631,259,550,541,414,400 - Step 5: Solve for x
x = 605,513,162,631,259,550,541,414,400/37,835,309,383,506 - Step 6: Final answer
x = 16,003,917,306,282.90
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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.