Finding the Fourth Proportional to 5,604,562,428,125, 8,405,994,220,696.40 and 1,525,350,440,993.10
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Solution
The fourth proportional to 5,604,562,428,125, 8,405,994,220,696.40 and 1,525,350,440,993.10 is: 2,287,794,481,007.20
Step by Step Solution
- Step 1: Write the proportion equation
5,604,562,428,125 : 8,405,994,220,696.40 = 1,525,350,440,993.10 : x - Step 2: Convert to fraction form
5,604,562,428,125/8,405,994,220,696.40 = 1,525,350,440,993.10/x - Step 3: Cross multiply
5,604,562,428,125x = 8,405,994,220,696.40 × 1,525,350,440,993.10 - Step 4: Simplify right side
5,604,562,428,125x = 12,822,086,991,524,705,521,893,376 - Step 5: Solve for x
x = 12,822,086,991,524,705,521,893,376/5,604,562,428,125 - Step 6: Final answer
x = 2,287,794,481,007.20
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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.