Finding the Fourth Proportional to 569,165,965,286.49, 853,717,522,562.37 and 416,167,641,743.09
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Solution
The fourth proportional to 569,165,965,286.49, 853,717,522,562.37 and 416,167,641,743.09 is: 624,228,484,745.57
Step by Step Solution
- Step 1: Write the proportion equation
569,165,965,286.49 : 853,717,522,562.37 = 416,167,641,743.09 : x - Step 2: Convert to fraction form
569,165,965,286.49/853,717,522,562.37 = 416,167,641,743.09/x - Step 3: Cross multiply
569,165,965,286.49x = 853,717,522,562.37 × 416,167,641,743.09 - Step 4: Simplify right side
569,165,965,286.49x = 355,289,608,079,534,754,627,584 - Step 5: Solve for x
x = 355,289,608,079,534,754,627,584/569,165,965,286.49 - Step 6: Final answer
x = 624,228,484,745.57
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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.