Finding the Fourth Proportional to 802,287,968,035.14, 1,107,166,174,922.20 and 436,484,250,919.68
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Solution
The fourth proportional to 802,287,968,035.14, 1,107,166,174,922.20 and 436,484,250,919.68 is: 602,353,042,496.78
Step by Step Solution
- Step 1: Write the proportion equation
802,287,968,035.14 : 1,107,166,174,922.20 = 436,484,250,919.68 : x - Step 2: Convert to fraction form
802,287,968,035.14/1,107,166,174,922.20 = 436,484,250,919.68/x - Step 3: Cross multiply
802,287,968,035.14x = 1,107,166,174,922.20 × 436,484,250,919.68 - Step 4: Simplify right side
802,287,968,035.14x = 483,260,598,504,523,816,763,392 - Step 5: Solve for x
x = 483,260,598,504,523,816,763,392/802,287,968,035.14 - Step 6: Final answer
x = 602,353,042,496.78
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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.