Finding the Fourth Proportional to 1,123,935,177,273, 1,685,703,479,138.10 and 511,171,209,251
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Solution
The fourth proportional to 1,123,935,177,273, 1,685,703,479,138.10 and 511,171,209,251 is: 766,666,177,279.32
Step by Step Solution
- Step 1: Write the proportion equation
1,123,935,177,273 : 1,685,703,479,138.10 = 511,171,209,251 : x - Step 2: Convert to fraction form
1,123,935,177,273/1,685,703,479,138.10 = 511,171,209,251/x - Step 3: Cross multiply
1,123,935,177,273x = 1,685,703,479,138.10 × 511,171,209,251 - Step 4: Simplify right side
1,123,935,177,273x = 861,683,085,869,640,451,096,576 - Step 5: Solve for x
x = 861,683,085,869,640,451,096,576/1,123,935,177,273 - Step 6: Final answer
x = 766,666,177,279.32
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.