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Finding the Fourth Proportional to 488,762,466,186.80, 733,143,699,280.20 and 488,762,466,186.80

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Solution

The fourth proportional to 488,762,466,186.80, 733,143,699,280.20 and 488,762,466,186.80 is: 733,143,699,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,762,466,186.80 : 733,143,699,280.20 = 488,762,466,186.80 : x
  2. Step 2: Convert to fraction form
    488,762,466,186.80/733,143,699,280.20 = 488,762,466,186.80/x
  3. Step 3: Cross multiply
    488,762,466,186.80x = 733,143,699,280.20 × 488,762,466,186.80
  4. Step 4: Simplify right side
    488,762,466,186.80x = 358,333,122,529,504,180,305,920
  5. Step 5: Solve for x
    x = 358,333,122,529,504,180,305,920/488,762,466,186.80
  6. Step 6: Final answer
    x = 733,143,699,280.20

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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.