Finding the Fourth Proportional to 279,430,758.80, 419,146,138.20 and 97,658,982.80
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Solution
The fourth proportional to 279,430,758.80, 419,146,138.20 and 97,658,982.80 is: 146,488,474.20
Step by Step Solution
- Step 1: Write the proportion equation
279,430,758.80 : 419,146,138.20 = 97,658,982.80 : x - Step 2: Convert to fraction form
279,430,758.80/419,146,138.20 = 97,658,982.80/x - Step 3: Cross multiply
279,430,758.80x = 419,146,138.20 × 97,658,982.80 - Step 4: Simplify right side
279,430,758.80x = 40,933,385,501,160,224 - Step 5: Solve for x
x = 40,933,385,501,160,224/279,430,758.80 - Step 6: Final answer
x = 146,488,474.20
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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.