Finding the Fourth Proportional to 1,493,659,936.14, 2,240,841,828.69 and 511,097,173.26
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Solution
The fourth proportional to 1,493,659,936.14, 2,240,841,828.69 and 511,097,173.26 is: 766,766,180.61
Step by Step Solution
- Step 1: Write the proportion equation
1,493,659,936.14 : 2,240,841,828.69 = 511,097,173.26 : x - Step 2: Convert to fraction form
1,493,659,936.14/2,240,841,828.69 = 511,097,173.26/x - Step 3: Cross multiply
1,493,659,936.14x = 2,240,841,828.69 × 511,097,173.26 - Step 4: Simplify right side
1,493,659,936.14x = 1,145,287,924,366,228,224 - Step 5: Solve for x
x = 1,145,287,924,366,228,224/1,493,659,936.14 - Step 6: Final answer
x = 766,766,180.61
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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.