Finding the Fourth Proportional to 465,442,670,857.70, 698,164,006,286.65 and 465,442,670,857.70
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Solution
The fourth proportional to 465,442,670,857.70, 698,164,006,286.65 and 465,442,670,857.70 is: 698,164,006,286.65
Step by Step Solution
- Step 1: Write the proportion equation
465,442,670,857.70 : 698,164,006,286.65 = 465,442,670,857.70 : x - Step 2: Convert to fraction form
465,442,670,857.70/698,164,006,286.65 = 465,442,670,857.70/x - Step 3: Cross multiply
465,442,670,857.70x = 698,164,006,286.65 × 465,442,670,857.70 - Step 4: Simplify right side
465,442,670,857.70x = 324,955,319,782,770,475,008,000 - Step 5: Solve for x
x = 324,955,319,782,770,475,008,000/465,442,670,857.70 - Step 6: Final answer
x = 698,164,006,286.65
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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.