Finding the Fourth Proportional to 2,152,179,493,378.20, 3,230,566,569,130.70 and 927,542,976,176.62
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Solution
The fourth proportional to 2,152,179,493,378.20, 3,230,566,569,130.70 and 927,542,976,176.62 is: 1,392,304,563,577.41
Step by Step Solution
- Step 1: Write the proportion equation
2,152,179,493,378.20 : 3,230,566,569,130.70 = 927,542,976,176.62 : x - Step 2: Convert to fraction form
2,152,179,493,378.20/3,230,566,569,130.70 = 927,542,976,176.62/x - Step 3: Cross multiply
2,152,179,493,378.20x = 3,230,566,569,130.70 × 927,542,976,176.62 - Step 4: Simplify right side
2,152,179,493,378.20x = 2,996,489,330,268,181,811,429,376 - Step 5: Solve for x
x = 2,996,489,330,268,181,811,429,376/2,152,179,493,378.20 - Step 6: Final answer
x = 1,392,304,563,577.41
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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.