Finding the Fourth Proportional to 314,307,231.90, 471,533,796.58 and 107,047,438.18
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Solution
The fourth proportional to 314,307,231.90, 471,533,796.58 and 107,047,438.18 is: 160,596,002.30
Step by Step Solution
- Step 1: Write the proportion equation
314,307,231.90 : 471,533,796.58 = 107,047,438.18 : x - Step 2: Convert to fraction form
314,307,231.90/471,533,796.58 = 107,047,438.18/x - Step 3: Cross multiply
314,307,231.90x = 471,533,796.58 × 107,047,438.18 - Step 4: Simplify right side
314,307,231.90x = 50,476,484,937,933,040 - Step 5: Solve for x
x = 50,476,484,937,933,040/314,307,231.90 - Step 6: Final answer
x = 160,596,002.30
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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.