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Finding the Fourth Proportional to 5,432,768,048.80, 8,149,152,073.20 and 5,432,768,048.80

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Solution

The fourth proportional to 5,432,768,048.80, 8,149,152,073.20 and 5,432,768,048.80 is: 8,149,152,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432,768,048.80 : 8,149,152,073.20 = 5,432,768,048.80 : x
  2. Step 2: Convert to fraction form
    5,432,768,048.80/8,149,152,073.20 = 5,432,768,048.80/x
  3. Step 3: Cross multiply
    5,432,768,048.80x = 8,149,152,073.20 × 5,432,768,048.80
  4. Step 4: Simplify right side
    5,432,768,048.80x = 44,272,453,008,093,241,344
  5. Step 5: Solve for x
    x = 44,272,453,008,093,241,344/5,432,768,048.80
  6. Step 6: Final answer
    x = 8,149,152,073.20

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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.