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Finding the Fourth Proportional to 149,339,027,793.60, 224,008,541,690.40 and 149,339,027,793.60

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Solution

The fourth proportional to 149,339,027,793.60, 224,008,541,690.40 and 149,339,027,793.60 is: 224,008,541,690.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,339,027,793.60 : 224,008,541,690.40 = 149,339,027,793.60 : x
  2. Step 2: Convert to fraction form
    149,339,027,793.60/224,008,541,690.40 = 149,339,027,793.60/x
  3. Step 3: Cross multiply
    149,339,027,793.60x = 224,008,541,690.40 × 149,339,027,793.60
  4. Step 4: Simplify right side
    149,339,027,793.60x = 33,453,217,833,506,450,702,336
  5. Step 5: Solve for x
    x = 33,453,217,833,506,450,702,336/149,339,027,793.60
  6. Step 6: Final answer
    x = 224,008,541,690.40

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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.