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Finding the Fourth Proportional to 427,723,118,889.30, 641,584,678,333.95 and 427,723,118,889.30

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Solution

The fourth proportional to 427,723,118,889.30, 641,584,678,333.95 and 427,723,118,889.30 is: 641,584,678,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,723,118,889.30 : 641,584,678,333.95 = 427,723,118,889.30 : x
  2. Step 2: Convert to fraction form
    427,723,118,889.30/641,584,678,333.95 = 427,723,118,889.30/x
  3. Step 3: Cross multiply
    427,723,118,889.30x = 641,584,678,333.95 × 427,723,118,889.30
  4. Step 4: Simplify right side
    427,723,118,889.30x = 274,420,599,648,585,364,013,056
  5. Step 5: Solve for x
    x = 274,420,599,648,585,364,013,056/427,723,118,889.30
  6. Step 6: Final answer
    x = 641,584,678,333.95

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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.