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Finding the Fourth Proportional to 739,765,890,905.05, 1,109,648,836,357.60 and 739,765,890,905.05

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Solution

The fourth proportional to 739,765,890,905.05, 1,109,648,836,357.60 and 739,765,890,905.05 is: 1,109,648,836,357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,765,890,905.05 : 1,109,648,836,357.60 = 739,765,890,905.05 : x
  2. Step 2: Convert to fraction form
    739,765,890,905.05/1,109,648,836,357.60 = 739,765,890,905.05/x
  3. Step 3: Cross multiply
    739,765,890,905.05x = 1,109,648,836,357.60 × 739,765,890,905.05
  4. Step 4: Simplify right side
    739,765,890,905.05x = 820,880,360,019,832,155,930,624
  5. Step 5: Solve for x
    x = 820,880,360,019,832,155,930,624/739,765,890,905.05
  6. Step 6: Final answer
    x = 1,109,648,836,357.60

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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.