Finding the Fourth Proportional to 395,743,171,316.64, 593,343,757,356.08 and 201,530,294,236.92
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Solution
The fourth proportional to 395,743,171,316.64, 593,343,757,356.08 and 201,530,294,236.92 is: 302,157,436,111.35
Step by Step Solution
- Step 1: Write the proportion equation
395,743,171,316.64 : 593,343,757,356.08 = 201,530,294,236.92 : x - Step 2: Convert to fraction form
395,743,171,316.64/593,343,757,356.08 = 201,530,294,236.92/x - Step 3: Cross multiply
395,743,171,316.64x = 593,343,757,356.08 × 201,530,294,236.92 - Step 4: Simplify right side
395,743,171,316.64x = 119,576,742,003,610,461,667,328 - Step 5: Solve for x
x = 119,576,742,003,610,461,667,328/395,743,171,316.64 - Step 6: Final answer
x = 302,157,436,111.35
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.