Finding the Fourth Proportional to 523,235,216,286.99, 722,198,945,671.44 and 340,786,962,551.82
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Solution
The fourth proportional to 523,235,216,286.99, 722,198,945,671.44 and 340,786,962,551.82 is: 470,373,509,642.56
Step by Step Solution
- Step 1: Write the proportion equation
523,235,216,286.99 : 722,198,945,671.44 = 340,786,962,551.82 : x - Step 2: Convert to fraction form
523,235,216,286.99/722,198,945,671.44 = 340,786,962,551.82/x - Step 3: Cross multiply
523,235,216,286.99x = 722,198,945,671.44 × 340,786,962,551.82 - Step 4: Simplify right side
523,235,216,286.99x = 246,115,985,053,496,880,660,480 - Step 5: Solve for x
x = 246,115,985,053,496,880,660,480/523,235,216,286.99 - Step 6: Final answer
x = 470,373,509,642.56
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.