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Finding the Fourth Proportional to 699,225,664.20, 977,101,944.60 and 699,225,664.20

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Solution

The fourth proportional to 699,225,664.20, 977,101,944.60 and 699,225,664.20 is: 977,101,944.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,225,664.20 : 977,101,944.60 = 699,225,664.20 : x
  2. Step 2: Convert to fraction form
    699,225,664.20/977,101,944.60 = 699,225,664.20/x
  3. Step 3: Cross multiply
    699,225,664.20x = 977,101,944.60 × 699,225,664.20
  4. Step 4: Simplify right side
    699,225,664.20x = 683,214,756,204,046,720
  5. Step 5: Solve for x
    x = 683,214,756,204,046,720/699,225,664.20
  6. Step 6: Final answer
    x = 977,101,944.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.