Finding the Fourth Proportional to 296,826,368.02, 409,620,869.74 and 164,667,367.96
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Solution
The fourth proportional to 296,826,368.02, 409,620,869.74 and 164,667,367.96 is: 227,241,235.11
Step by Step Solution
- Step 1: Write the proportion equation
296,826,368.02 : 409,620,869.74 = 164,667,367.96 : x - Step 2: Convert to fraction form
296,826,368.02/409,620,869.74 = 164,667,367.96/x - Step 3: Cross multiply
296,826,368.02x = 409,620,869.74 × 164,667,367.96 - Step 4: Simplify right side
296,826,368.02x = 67,451,190,479,523,712 - Step 5: Solve for x
x = 67,451,190,479,523,712/296,826,368.02 - Step 6: Final answer
x = 227,241,235.11
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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.