Finding the Fourth Proportional to 395,743,171,313.62, 593,343,757,351.59 and 201,530,294,233.93
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Solution
The fourth proportional to 395,743,171,313.62, 593,343,757,351.59 and 201,530,294,233.93 is: 302,157,436,106.89
Step by Step Solution
- Step 1: Write the proportion equation
395,743,171,313.62 : 593,343,757,351.59 = 201,530,294,233.93 : x - Step 2: Convert to fraction form
395,743,171,313.62/593,343,757,351.59 = 201,530,294,233.93/x - Step 3: Cross multiply
395,743,171,313.62x = 593,343,757,351.59 × 201,530,294,233.93 - Step 4: Simplify right side
395,743,171,313.62x = 119,576,742,000,931,492,593,664 - Step 5: Solve for x
x = 119,576,742,000,931,492,593,664/395,743,171,313.62 - Step 6: Final answer
x = 302,157,436,106.89
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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.