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Finding the Fourth Proportional to 488,723,311.10, 733,084,966.65 and 488,723,311.10

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Solution

The fourth proportional to 488,723,311.10, 733,084,966.65 and 488,723,311.10 is: 733,084,966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,723,311.10 : 733,084,966.65 = 488,723,311.10 : x
  2. Step 2: Convert to fraction form
    488,723,311.10/733,084,966.65 = 488,723,311.10/x
  3. Step 3: Cross multiply
    488,723,311.10x = 733,084,966.65 × 488,723,311.10
  4. Step 4: Simplify right side
    488,723,311.10x = 358,275,712,218,821,056
  5. Step 5: Solve for x
    x = 358,275,712,218,821,056/488,723,311.10
  6. Step 6: Final answer
    x = 733,084,966.65

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Double scale
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Similar ratio
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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.