Finding the Fourth Proportional to 164,520,005.99, 226,905,226.08 and 144,631,247.56
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Solution
The fourth proportional to 164,520,005.99, 226,905,226.08 and 144,631,247.56 is: 199,474,743.08
Step by Step Solution
- Step 1: Write the proportion equation
164,520,005.99 : 226,905,226.08 = 144,631,247.56 : x - Step 2: Convert to fraction form
164,520,005.99/226,905,226.08 = 144,631,247.56/x - Step 3: Cross multiply
164,520,005.99x = 226,905,226.08 × 144,631,247.56 - Step 4: Simplify right side
164,520,005.99x = 32,817,585,924,724,616 - Step 5: Solve for x
x = 32,817,585,924,724,616/164,520,005.99 - Step 6: Final answer
x = 199,474,743.08
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.