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Finding the Fourth Proportional to 455,140,809.70, 682,711,214.55 and 455,140,809.70

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Solution

The fourth proportional to 455,140,809.70, 682,711,214.55 and 455,140,809.70 is: 682,711,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,140,809.70 : 682,711,214.55 = 455,140,809.70 : x
  2. Step 2: Convert to fraction form
    455,140,809.70/682,711,214.55 = 455,140,809.70/x
  3. Step 3: Cross multiply
    455,140,809.70x = 682,711,214.55 × 455,140,809.70
  4. Step 4: Simplify right side
    455,140,809.70x = 310,729,734,981,557,376
  5. Step 5: Solve for x
    x = 310,729,734,981,557,376/455,140,809.70
  6. Step 6: Final answer
    x = 682,711,214.55

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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.