Finding the Fourth Proportional to 2,350,009,168,704.60, 3,526,623,929,798.70 and 820,185,469,586.13
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Solution
The fourth proportional to 2,350,009,168,704.60, 3,526,623,929,798.70 and 820,185,469,586.13 is: 1,230,840,178,172.61
Step by Step Solution
- Step 1: Write the proportion equation
2,350,009,168,704.60 : 3,526,623,929,798.70 = 820,185,469,586.13 : x - Step 2: Convert to fraction form
2,350,009,168,704.60/3,526,623,929,798.70 = 820,185,469,586.13/x - Step 3: Cross multiply
2,350,009,168,704.60x = 3,526,623,929,798.70 × 820,185,469,586.13 - Step 4: Simplify right side
2,350,009,168,704.60x = 2,892,485,703,915,630,302,855,168 - Step 5: Solve for x
x = 2,892,485,703,915,630,302,855,168/2,350,009,168,704.60 - Step 6: Final answer
x = 1,230,840,178,172.61
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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.