Finding the Fourth Proportional to 3,742,381,963,161.90, 5,164,517,432,463 and 2,073,825,215,170.20
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Solution
The fourth proportional to 3,742,381,963,161.90, 5,164,517,432,463 and 2,073,825,215,170.20 is: 2,861,895,600,463.72
Step by Step Solution
- Step 1: Write the proportion equation
3,742,381,963,161.90 : 5,164,517,432,463 = 2,073,825,215,170.20 : x - Step 2: Convert to fraction form
3,742,381,963,161.90/5,164,517,432,463 = 2,073,825,215,170.20/x - Step 3: Cross multiply
3,742,381,963,161.90x = 5,164,517,432,463 × 2,073,825,215,170.20 - Step 4: Simplify right side
3,742,381,963,161.90x = 10,710,306,475,627,829,534,916,608 - Step 5: Solve for x
x = 10,710,306,475,627,829,534,916,608/3,742,381,963,161.90 - Step 6: Final answer
x = 2,861,895,600,463.72
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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.