Finding the Fourth Proportional to 144,898,683,260.98, 217,447,306,410.98 and 50,571,631,014.84
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Solution
The fourth proportional to 144,898,683,260.98, 217,447,306,410.98 and 50,571,631,014.84 is: 75,892,097,136.46
Step by Step Solution
- Step 1: Write the proportion equation
144,898,683,260.98 : 217,447,306,410.98 = 50,571,631,014.84 : x - Step 2: Convert to fraction form
144,898,683,260.98/217,447,306,410.98 = 50,571,631,014.84/x - Step 3: Cross multiply
144,898,683,260.98x = 217,447,306,410.98 × 50,571,631,014.84 - Step 4: Simplify right side
144,898,683,260.98x = 10,996,664,944,986,932,903,936 - Step 5: Solve for x
x = 10,996,664,944,986,932,903,936/144,898,683,260.98 - Step 6: Final answer
x = 75,892,097,136.46
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1.5x scale
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.