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Finding the Fourth Proportional to 5,563,008,265.60, 8,344,512,398.40 and 5,563,008,265.60

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Solution

The fourth proportional to 5,563,008,265.60, 8,344,512,398.40 and 5,563,008,265.60 is: 8,344,512,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563,008,265.60 : 8,344,512,398.40 = 5,563,008,265.60 : x
  2. Step 2: Convert to fraction form
    5,563,008,265.60/8,344,512,398.40 = 5,563,008,265.60/x
  3. Step 3: Cross multiply
    5,563,008,265.60x = 8,344,512,398.40 × 5,563,008,265.60
  4. Step 4: Simplify right side
    5,563,008,265.60x = 46,420,591,444,700,880,896
  5. Step 5: Solve for x
    x = 46,420,591,444,700,880,896/5,563,008,265.60
  6. Step 6: Final answer
    x = 8,344,512,398.40

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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.