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Finding the Fourth Proportional to 301,214,000.10, 451,821,000.45 and 301,214,000.10

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Solution

The fourth proportional to 301,214,000.10, 451,821,000.45 and 301,214,000.10 is: 451,821,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,214,000.10 : 451,821,000.45 = 301,214,000.10 : x
  2. Step 2: Convert to fraction form
    301,214,000.10/451,821,000.45 = 301,214,000.10/x
  3. Step 3: Cross multiply
    301,214,000.10x = 451,821,000.45 × 301,214,000.10
  4. Step 4: Simplify right side
    301,214,000.10x = 136,094,810,874,728,400
  5. Step 5: Solve for x
    x = 136,094,810,874,728,400/301,214,000.10
  6. Step 6: Final answer
    x = 451,821,000.45

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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.