Finding the Fourth Proportional to 615,647,206,366.70, 923,624,623,771.27 and 434,483,763,562.68
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Solution
The fourth proportional to 615,647,206,366.70, 923,624,623,771.27 and 434,483,763,562.68 is: 651,834,197,419.03
Step by Step Solution
- Step 1: Write the proportion equation
615,647,206,366.70 : 923,624,623,771.27 = 434,483,763,562.68 : x - Step 2: Convert to fraction form
615,647,206,366.70/923,624,623,771.27 = 434,483,763,562.68/x - Step 3: Cross multiply
615,647,206,366.70x = 923,624,623,771.27 × 434,483,763,562.68 - Step 4: Simplify right side
615,647,206,366.70x = 401,299,902,655,305,745,432,576 - Step 5: Solve for x
x = 401,299,902,655,305,745,432,576/615,647,206,366.70 - Step 6: Final answer
x = 651,834,197,419.03
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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.