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Finding the Fourth Proportional to 6,814,515,404.70, 10,221,773,107.05 and 6,814,515,404.70

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Solution

The fourth proportional to 6,814,515,404.70, 10,221,773,107.05 and 6,814,515,404.70 is: 10,221,773,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814,515,404.70 : 10,221,773,107.05 = 6,814,515,404.70 : x
  2. Step 2: Convert to fraction form
    6,814,515,404.70/10,221,773,107.05 = 6,814,515,404.70/x
  3. Step 3: Cross multiply
    6,814,515,404.70x = 10,221,773,107.05 × 6,814,515,404.70
  4. Step 4: Simplify right side
    6,814,515,404.70x = 69,656,430,301,340,401,664
  5. Step 5: Solve for x
    x = 69,656,430,301,340,401,664/6,814,515,404.70
  6. Step 6: Final answer
    x = 10,221,773,107.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.