Finding the Fourth Proportional to 2,088,897,057,741.20, 3,134,776,854,786.80 and 729,053,769,635.10
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Solution
The fourth proportional to 2,088,897,057,741.20, 3,134,776,854,786.80 and 729,053,769,635.10 is: 1,094,080,186,707.95
Step by Step Solution
- Step 1: Write the proportion equation
2,088,897,057,741.20 : 3,134,776,854,786.80 = 729,053,769,635.10 : x - Step 2: Convert to fraction form
2,088,897,057,741.20/3,134,776,854,786.80 = 729,053,769,635.10/x - Step 3: Cross multiply
2,088,897,057,741.20x = 3,134,776,854,786.80 × 729,053,769,635.10 - Step 4: Simplify right side
2,088,897,057,741.20x = 2,285,420,882,947,178,833,641,472 - Step 5: Solve for x
x = 2,285,420,882,947,178,833,641,472/2,088,897,057,741.20 - Step 6: Final answer
x = 1,094,080,186,707.95
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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.