Finding the Fourth Proportional to 2,088,897,057,739.20, 3,134,776,854,783.80 and 729,053,769,633.10
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Solution
The fourth proportional to 2,088,897,057,739.20, 3,134,776,854,783.80 and 729,053,769,633.10 is: 1,094,080,186,704.95
Step by Step Solution
- Step 1: Write the proportion equation
2,088,897,057,739.20 : 3,134,776,854,783.80 = 729,053,769,633.10 : x - Step 2: Convert to fraction form
2,088,897,057,739.20/3,134,776,854,783.80 = 729,053,769,633.10/x - Step 3: Cross multiply
2,088,897,057,739.20x = 3,134,776,854,783.80 × 729,053,769,633.10 - Step 4: Simplify right side
2,088,897,057,739.20x = 2,285,420,882,938,722,043,035,648 - Step 5: Solve for x
x = 2,285,420,882,938,722,043,035,648/2,088,897,057,739.20 - Step 6: Final answer
x = 1,094,080,186,704.95
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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.