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Finding the Fourth Proportional to 18,664,849,101.60, 27,997,273,652.40 and 18,664,849,101.60

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Solution

The fourth proportional to 18,664,849,101.60, 27,997,273,652.40 and 18,664,849,101.60 is: 27,997,273,652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,664,849,101.60 : 27,997,273,652.40 = 18,664,849,101.60 : x
  2. Step 2: Convert to fraction form
    18,664,849,101.60/27,997,273,652.40 = 18,664,849,101.60/x
  3. Step 3: Cross multiply
    18,664,849,101.60x = 27,997,273,652.40 × 18,664,849,101.60
  4. Step 4: Simplify right side
    18,664,849,101.60x = 522,564,887,978,247,454,720
  5. Step 5: Solve for x
    x = 522,564,887,978,247,454,720/18,664,849,101.60
  6. Step 6: Final answer
    x = 27,997,273,652.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.