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Finding the Fourth Proportional to 682,617,402.05, 1,023,926,103.08 and 682,617,402.05

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Solution

The fourth proportional to 682,617,402.05, 1,023,926,103.08 and 682,617,402.05 is: 1,023,926,103.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,617,402.05 : 1,023,926,103.08 = 682,617,402.05 : x
  2. Step 2: Convert to fraction form
    682,617,402.05/1,023,926,103.08 = 682,617,402.05/x
  3. Step 3: Cross multiply
    682,617,402.05x = 1,023,926,103.08 × 682,617,402.05
  4. Step 4: Simplify right side
    682,617,402.05x = 698,949,776,372,237,056
  5. Step 5: Solve for x
    x = 698,949,776,372,237,056/682,617,402.05
  6. Step 6: Final answer
    x = 1,023,926,103.08

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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.