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Finding the Fourth Proportional to 382,626,288,082.05, 573,939,432,123.06 and 382,626,288,082.05

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Solution

The fourth proportional to 382,626,288,082.05, 573,939,432,123.06 and 382,626,288,082.05 is: 573,939,432,123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,626,288,082.05 : 573,939,432,123.06 = 382,626,288,082.05 : x
  2. Step 2: Convert to fraction form
    382,626,288,082.05/573,939,432,123.06 = 382,626,288,082.05/x
  3. Step 3: Cross multiply
    382,626,288,082.05x = 573,939,432,123.06 × 382,626,288,082.05
  4. Step 4: Simplify right side
    382,626,288,082.05x = 219,604,314,497,166,149,156,864
  5. Step 5: Solve for x
    x = 219,604,314,497,166,149,156,864/382,626,288,082.05
  6. Step 6: Final answer
    x = 573,939,432,123.06

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