Finding the Fourth Proportional to 173,844,437,914.90, 260,766,656,872.35 and 106,898,177,415.70
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Solution
The fourth proportional to 173,844,437,914.90, 260,766,656,872.35 and 106,898,177,415.70 is: 160,347,266,123.55
Step by Step Solution
- Step 1: Write the proportion equation
173,844,437,914.90 : 260,766,656,872.35 = 106,898,177,415.70 : x - Step 2: Convert to fraction form
173,844,437,914.90/260,766,656,872.35 = 106,898,177,415.70/x - Step 3: Cross multiply
173,844,437,914.90x = 260,766,656,872.35 × 106,898,177,415.70 - Step 4: Simplify right side
173,844,437,914.90x = 27,875,480,350,439,436,713,984 - Step 5: Solve for x
x = 27,875,480,350,439,436,713,984/173,844,437,914.90 - Step 6: Final answer
x = 160,347,266,123.55
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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.