Finding the Fourth Proportional to 1,484,165,462.31, 2,226,246,914.34 and 378,770,230.17
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Solution
The fourth proportional to 1,484,165,462.31, 2,226,246,914.34 and 378,770,230.17 is: 568,155,018.81
Step by Step Solution
- Step 1: Write the proportion equation
1,484,165,462.31 : 2,226,246,914.34 = 378,770,230.17 : x - Step 2: Convert to fraction form
1,484,165,462.31/2,226,246,914.34 = 378,770,230.17/x - Step 3: Cross multiply
1,484,165,462.31x = 2,226,246,914.34 × 378,770,230.17 - Step 4: Simplify right side
1,484,165,462.31x = 843,236,056,159,814,144 - Step 5: Solve for x
x = 843,236,056,159,814,144/1,484,165,462.31 - Step 6: Final answer
x = 568,155,018.81
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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.