Finding the Fourth Proportional to 542,617,056,163.80, 813,925,584,245.70 and 542,617,056,163.80
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Solution
The fourth proportional to 542,617,056,163.80, 813,925,584,245.70 and 542,617,056,163.80 is: 813,925,584,245.70
Step by Step Solution
- Step 1: Write the proportion equation
542,617,056,163.80 : 813,925,584,245.70 = 542,617,056,163.80 : x - Step 2: Convert to fraction form
542,617,056,163.80/813,925,584,245.70 = 542,617,056,163.80/x - Step 3: Cross multiply
542,617,056,163.80x = 813,925,584,245.70 × 542,617,056,163.80 - Step 4: Simplify right side
542,617,056,163.80x = 441,649,904,459,802,705,133,568 - Step 5: Solve for x
x = 441,649,904,459,802,705,133,568/542,617,056,163.80 - Step 6: Final answer
x = 813,925,584,245.70
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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.