Finding the Fourth Proportional to 471,040,543,110.40, 706,766,330,823.12 and 164,950,014,124.08
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Solution
The fourth proportional to 471,040,543,110.40, 706,766,330,823.12 and 164,950,014,124.08 is: 247,496,989,286.49
Step by Step Solution
- Step 1: Write the proportion equation
471,040,543,110.40 : 706,766,330,823.12 = 164,950,014,124.08 : x - Step 2: Convert to fraction form
471,040,543,110.40/706,766,330,823.12 = 164,950,014,124.08/x - Step 3: Cross multiply
471,040,543,110.40x = 706,766,330,823.12 × 164,950,014,124.08 - Step 4: Simplify right side
471,040,543,110.40x = 116,581,116,251,697,827,545,088 - Step 5: Solve for x
x = 116,581,116,251,697,827,545,088/471,040,543,110.40 - Step 6: Final answer
x = 247,496,989,286.49
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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.