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Finding the Fourth Proportional to 496,608,096,000.40, 744,912,144,000.62 and 496,608,096,000.40

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Solution

The fourth proportional to 496,608,096,000.40, 744,912,144,000.62 and 496,608,096,000.40 is: 744,912,144,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,608,096,000.40 : 744,912,144,000.62 = 496,608,096,000.40 : x
  2. Step 2: Convert to fraction form
    496,608,096,000.40/744,912,144,000.62 = 496,608,096,000.40/x
  3. Step 3: Cross multiply
    496,608,096,000.40x = 744,912,144,000.62 × 496,608,096,000.40
  4. Step 4: Simplify right side
    496,608,096,000.40x = 369,929,401,519,723,700,551,680
  5. Step 5: Solve for x
    x = 369,929,401,519,723,700,551,680/496,608,096,000.40
  6. Step 6: Final answer
    x = 744,912,144,000.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.