Finding the Fourth Proportional to 304,021,046,910.93, 419,521,313,997.15 and 180,400,881,529.75
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Solution
The fourth proportional to 304,021,046,910.93, 419,521,313,997.15 and 180,400,881,529.75 is: 248,936,761,564.99
Step by Step Solution
- Step 1: Write the proportion equation
304,021,046,910.93 : 419,521,313,997.15 = 180,400,881,529.75 : x - Step 2: Convert to fraction form
304,021,046,910.93/419,521,313,997.15 = 180,400,881,529.75/x - Step 3: Cross multiply
304,021,046,910.93x = 419,521,313,997.15 × 180,400,881,529.75 - Step 4: Simplify right side
304,021,046,910.93x = 75,682,014,865,604,904,747,008 - Step 5: Solve for x
x = 75,682,014,865,604,904,747,008/304,021,046,910.93 - Step 6: Final answer
x = 248,936,761,564.99
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.