Finding the Fourth Proportional to 2,152,179,493,376.70, 3,230,566,569,128.40 and 927,542,976,175.12
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Solution
The fourth proportional to 2,152,179,493,376.70, 3,230,566,569,128.40 and 927,542,976,175.12 is: 1,392,304,563,575.14
Step by Step Solution
- Step 1: Write the proportion equation
2,152,179,493,376.70 : 3,230,566,569,128.40 = 927,542,976,175.12 : x - Step 2: Convert to fraction form
2,152,179,493,376.70/3,230,566,569,128.40 = 927,542,976,175.12/x - Step 3: Cross multiply
2,152,179,493,376.70x = 3,230,566,569,128.40 × 927,542,976,175.12 - Step 4: Simplify right side
2,152,179,493,376.70x = 2,996,489,330,261,202,489,573,376 - Step 5: Solve for x
x = 2,996,489,330,261,202,489,573,376/2,152,179,493,376.70 - Step 6: Final answer
x = 1,392,304,563,575.14
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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.