Finding the Fourth Proportional to 200,690,814,711.18, 276,960,632,742.99 and 109,234,947,038.70
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Solution
The fourth proportional to 200,690,814,711.18, 276,960,632,742.99 and 109,234,947,038.70 is: 150,748,204,859.42
Step by Step Solution
- Step 1: Write the proportion equation
200,690,814,711.18 : 276,960,632,742.99 = 109,234,947,038.70 : x - Step 2: Convert to fraction form
200,690,814,711.18/276,960,632,742.99 = 109,234,947,038.70/x - Step 3: Cross multiply
200,690,814,711.18x = 276,960,632,742.99 × 109,234,947,038.70 - Step 4: Simplify right side
200,690,814,711.18x = 30,253,780,049,485,352,665,088 - Step 5: Solve for x
x = 30,253,780,049,485,352,665,088/200,690,814,711.18 - Step 6: Final answer
x = 150,748,204,859.42
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.