Finding the Fourth Proportional to 296,552,284.29, 409,242,146.22 and 164,392,945.92
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Solution
The fourth proportional to 296,552,284.29, 409,242,146.22 and 164,392,945.92 is: 226,862,261.99
Step by Step Solution
- Step 1: Write the proportion equation
296,552,284.29 : 409,242,146.22 = 164,392,945.92 : x - Step 2: Convert to fraction form
296,552,284.29/409,242,146.22 = 164,392,945.92/x - Step 3: Cross multiply
296,552,284.29x = 409,242,146.22 × 164,392,945.92 - Step 4: Simplify right side
296,552,284.29x = 67,276,522,011,729,192 - Step 5: Solve for x
x = 67,276,522,011,729,192/296,552,284.29 - Step 6: Final answer
x = 226,862,261.99
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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.