Finding the Fourth Proportional to 613,415,775,163.20, 920,123,662,744.80 and 613,415,775,163.20
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Solution
The fourth proportional to 613,415,775,163.20, 920,123,662,744.80 and 613,415,775,163.20 is: 920,123,662,744.80
Step by Step Solution
- Step 1: Write the proportion equation
613,415,775,163.20 : 920,123,662,744.80 = 613,415,775,163.20 : x - Step 2: Convert to fraction form
613,415,775,163.20/920,123,662,744.80 = 613,415,775,163.20/x - Step 3: Cross multiply
613,415,775,163.20x = 920,123,662,744.80 × 613,415,775,163.20 - Step 4: Simplify right side
613,415,775,163.20x = 564,418,369,828,604,285,550,592 - Step 5: Solve for x
x = 564,418,369,828,604,285,550,592/613,415,775,163.20 - Step 6: Final answer
x = 920,123,662,744.80
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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.