Finding the Fourth Proportional to 2,088,897,038,784.10, 3,134,776,826,390.80 and 729,053,750,678.79
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Solution
The fourth proportional to 2,088,897,038,784.10, 3,134,776,826,390.80 and 729,053,750,678.79 is: 1,094,080,158,278.87
Step by Step Solution
- Step 1: Write the proportion equation
2,088,897,038,784.10 : 3,134,776,826,390.80 = 729,053,750,678.79 : x - Step 2: Convert to fraction form
2,088,897,038,784.10/3,134,776,826,390.80 = 729,053,750,678.79/x - Step 3: Cross multiply
2,088,897,038,784.10x = 3,134,776,826,390.80 × 729,053,750,678.79 - Step 4: Simplify right side
2,088,897,038,784.10x = 2,285,420,802,821,166,876,065,792 - Step 5: Solve for x
x = 2,285,420,802,821,166,876,065,792/2,088,897,038,784.10 - Step 6: Final answer
x = 1,094,080,158,278.87
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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.