Finding the Fourth Proportional to 14,188,241,018,821, 21,282,396,404,046 and 4,000,972,770,105.90
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Solution
The fourth proportional to 14,188,241,018,821, 21,282,396,404,046 and 4,000,972,770,105.90 is: 6,001,468,989,865.21
Step by Step Solution
- Step 1: Write the proportion equation
14,188,241,018,821 : 21,282,396,404,046 = 4,000,972,770,105.90 : x - Step 2: Convert to fraction form
14,188,241,018,821/21,282,396,404,046 = 4,000,972,770,105.90/x - Step 3: Cross multiply
14,188,241,018,821x = 21,282,396,404,046 × 4,000,972,770,105.90 - Step 4: Simplify right side
14,188,241,018,821x = 85,150,288,495,187,759,544,139,776 - Step 5: Solve for x
x = 85,150,288,495,187,759,544,139,776/14,188,241,018,821 - Step 6: Final answer
x = 6,001,468,989,865.21
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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.