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Finding the Fourth Proportional to 961,309,905.60, 1,441,964,858.40 and 961,309,905.60

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Solution

The fourth proportional to 961,309,905.60, 1,441,964,858.40 and 961,309,905.60 is: 1,441,964,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,309,905.60 : 1,441,964,858.40 = 961,309,905.60 : x
  2. Step 2: Convert to fraction form
    961,309,905.60/1,441,964,858.40 = 961,309,905.60/x
  3. Step 3: Cross multiply
    961,309,905.60x = 1,441,964,858.40 × 961,309,905.60
  4. Step 4: Simplify right side
    961,309,905.60x = 1,386,175,101,907,021,568
  5. Step 5: Solve for x
    x = 1,386,175,101,907,021,568/961,309,905.60
  6. Step 6: Final answer
    x = 1,441,964,858.40

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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.