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Finding the Fourth Proportional to 455,108,672.70, 682,663,009.05 and 455,108,672.70

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Solution

The fourth proportional to 455,108,672.70, 682,663,009.05 and 455,108,672.70 is: 682,663,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,108,672.70 : 682,663,009.05 = 455,108,672.70 : x
  2. Step 2: Convert to fraction form
    455,108,672.70/682,663,009.05 = 455,108,672.70/x
  3. Step 3: Cross multiply
    455,108,672.70x = 682,663,009.05 × 455,108,672.70
  4. Step 4: Simplify right side
    455,108,672.70x = 310,685,855,950,133,568
  5. Step 5: Solve for x
    x = 310,685,855,950,133,568/455,108,672.70
  6. Step 6: Final answer
    x = 682,663,009.05

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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.