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Finding the Fourth Proportional to 6,205,293,605.60, 9,307,940,408.40 and 6,205,293,605.60

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Solution

The fourth proportional to 6,205,293,605.60, 9,307,940,408.40 and 6,205,293,605.60 is: 9,307,940,408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205,293,605.60 : 9,307,940,408.40 = 6,205,293,605.60 : x
  2. Step 2: Convert to fraction form
    6,205,293,605.60/9,307,940,408.40 = 6,205,293,605.60/x
  3. Step 3: Cross multiply
    6,205,293,605.60x = 9,307,940,408.40 × 6,205,293,605.60
  4. Step 4: Simplify right side
    6,205,293,605.60x = 57,758,503,097,550,372,864
  5. Step 5: Solve for x
    x = 57,758,503,097,550,372,864/6,205,293,605.60
  6. Step 6: Final answer
    x = 9,307,940,408.40

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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.