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Finding the Fourth Proportional to 348,864,163,500.40, 523,296,245,250.60 and 348,864,163,500.40

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Solution

The fourth proportional to 348,864,163,500.40, 523,296,245,250.60 and 348,864,163,500.40 is: 523,296,245,250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,864,163,500.40 : 523,296,245,250.60 = 348,864,163,500.40 : x
  2. Step 2: Convert to fraction form
    348,864,163,500.40/523,296,245,250.60 = 348,864,163,500.40/x
  3. Step 3: Cross multiply
    348,864,163,500.40x = 523,296,245,250.60 × 348,864,163,500.40
  4. Step 4: Simplify right side
    348,864,163,500.40x = 182,559,306,862,250,749,329,408
  5. Step 5: Solve for x
    x = 182,559,306,862,250,749,329,408/348,864,163,500.40
  6. Step 6: Final answer
    x = 523,296,245,250.60

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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.