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Finding the Fourth Proportional to 488,723,477.90, 733,085,216.85 and 488,723,477.90

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Solution

The fourth proportional to 488,723,477.90, 733,085,216.85 and 488,723,477.90 is: 733,085,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,723,477.90 : 733,085,216.85 = 488,723,477.90 : x
  2. Step 2: Convert to fraction form
    488,723,477.90/733,085,216.85 = 488,723,477.90/x
  3. Step 3: Cross multiply
    488,723,477.90x = 733,085,216.85 × 488,723,477.90
  4. Step 4: Simplify right side
    488,723,477.90x = 358,275,956,776,007,680
  5. Step 5: Solve for x
    x = 358,275,956,776,007,680/488,723,477.90
  6. Step 6: Final answer
    x = 733,085,216.85

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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.