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Finding the Fourth Proportional to 154,400,470,200.45, 231,600,705,300.68 and 154,400,470,200.45

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Solution

The fourth proportional to 154,400,470,200.45, 231,600,705,300.68 and 154,400,470,200.45 is: 231,600,705,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,400,470,200.45 : 231,600,705,300.68 = 154,400,470,200.45 : x
  2. Step 2: Convert to fraction form
    154,400,470,200.45/231,600,705,300.68 = 154,400,470,200.45/x
  3. Step 3: Cross multiply
    154,400,470,200.45x = 231,600,705,300.68 × 154,400,470,200.45
  4. Step 4: Simplify right side
    154,400,470,200.45x = 35,759,257,797,180,845,457,408
  5. Step 5: Solve for x
    x = 35,759,257,797,180,845,457,408/154,400,470,200.45
  6. Step 6: Final answer
    x = 231,600,705,300.68

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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.