Finding the Fourth Proportional to 2,088,897,038,823.20, 3,134,776,826,449.20 and 729,053,750,717.80
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Solution
The fourth proportional to 2,088,897,038,823.20, 3,134,776,826,449.20 and 729,053,750,717.80 is: 1,094,080,158,337.31
Step by Step Solution
- Step 1: Write the proportion equation
2,088,897,038,823.20 : 3,134,776,826,449.20 = 729,053,750,717.80 : x - Step 2: Convert to fraction form
2,088,897,038,823.20/3,134,776,826,449.20 = 729,053,750,717.80/x - Step 3: Cross multiply
2,088,897,038,823.20x = 3,134,776,826,449.20 × 729,053,750,717.80 - Step 4: Simplify right side
2,088,897,038,823.20x = 2,285,420,802,986,031,611,641,856 - Step 5: Solve for x
x = 2,285,420,802,986,031,611,641,856/2,088,897,038,823.20 - Step 6: Final answer
x = 1,094,080,158,337.31
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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.