Finding the Fourth Proportional to 279,432,023.80, 419,148,035.70 and 97,660,247.80
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Solution
The fourth proportional to 279,432,023.80, 419,148,035.70 and 97,660,247.80 is: 146,490,371.70
Step by Step Solution
- Step 1: Write the proportion equation
279,432,023.80 : 419,148,035.70 = 97,660,247.80 : x - Step 2: Convert to fraction form
279,432,023.80/419,148,035.70 = 97,660,247.80/x - Step 3: Cross multiply
279,432,023.80x = 419,148,035.70 × 97,660,247.80 - Step 4: Simplify right side
279,432,023.80x = 40,934,101,031,345,248 - Step 5: Solve for x
x = 40,934,101,031,345,248/279,432,023.80 - Step 6: Final answer
x = 146,490,371.70
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1.5x scale
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.