Finding the Fourth Proportional to 814,750,651,777, 1,124,305,238,879.10 and 448,924,383,056.12
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Solution
The fourth proportional to 814,750,651,777, 1,124,305,238,879.10 and 448,924,383,056.12 is: 619,487,734,842.23
Step by Step Solution
- Step 1: Write the proportion equation
814,750,651,777 : 1,124,305,238,879.10 = 448,924,383,056.12 : x - Step 2: Convert to fraction form
814,750,651,777/1,124,305,238,879.10 = 448,924,383,056.12/x - Step 3: Cross multiply
814,750,651,777x = 1,124,305,238,879.10 × 448,924,383,056.12 - Step 4: Simplify right side
814,750,651,777x = 504,728,035,730,563,627,220,992 - Step 5: Solve for x
x = 504,728,035,730,563,627,220,992/814,750,651,777 - Step 6: Final answer
x = 619,487,734,842.23
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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.