Finding the Fourth Proportional to 144,898,683,259.98, 217,447,306,409.48 and 50,571,631,013.84
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Solution
The fourth proportional to 144,898,683,259.98, 217,447,306,409.48 and 50,571,631,013.84 is: 75,892,097,134.95
Step by Step Solution
- Step 1: Write the proportion equation
144,898,683,259.98 : 217,447,306,409.48 = 50,571,631,013.84 : x - Step 2: Convert to fraction form
144,898,683,259.98/217,447,306,409.48 = 50,571,631,013.84/x - Step 3: Cross multiply
144,898,683,259.98x = 217,447,306,409.48 × 50,571,631,013.84 - Step 4: Simplify right side
144,898,683,259.98x = 10,996,664,944,692,540,997,632 - Step 5: Solve for x
x = 10,996,664,944,692,540,997,632/144,898,683,259.98 - Step 6: Final answer
x = 75,892,097,134.95
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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.