Finding the Fourth Proportional to 664,185,994,975.44, 997,868,380,107.96 and 425,887,524,630.48
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Solution
The fourth proportional to 664,185,994,975.44, 997,868,380,107.96 and 425,887,524,630.48 is: 639,850,429,738.32
Step by Step Solution
- Step 1: Write the proportion equation
664,185,994,975.44 : 997,868,380,107.96 = 425,887,524,630.48 : x - Step 2: Convert to fraction form
664,185,994,975.44/997,868,380,107.96 = 425,887,524,630.48/x - Step 3: Cross multiply
664,185,994,975.44x = 997,868,380,107.96 × 425,887,524,630.48 - Step 4: Simplify right side
664,185,994,975.44x = 424,979,694,311,205,972,738,048 - Step 5: Solve for x
x = 424,979,694,311,205,972,738,048/664,185,994,975.44 - Step 6: Final answer
x = 639,850,429,738.32
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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.