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Finding the Fourth Proportional to 451,822,433.40, 677,733,650.10 and 451,822,433.40

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Solution

The fourth proportional to 451,822,433.40, 677,733,650.10 and 451,822,433.40 is: 677,733,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,822,433.40 : 677,733,650.10 = 451,822,433.40 : x
  2. Step 2: Convert to fraction form
    451,822,433.40/677,733,650.10 = 451,822,433.40/x
  3. Step 3: Cross multiply
    451,822,433.40x = 677,733,650.10 × 451,822,433.40
  4. Step 4: Simplify right side
    451,822,433.40x = 306,215,266,985,246,144
  5. Step 5: Solve for x
    x = 306,215,266,985,246,144/451,822,433.40
  6. Step 6: Final answer
    x = 677,733,650.10

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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.