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Finding the Fourth Proportional to 454,678,015.60, 682,017,023.40 and 454,678,015.60

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Solution

The fourth proportional to 454,678,015.60, 682,017,023.40 and 454,678,015.60 is: 682,017,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,678,015.60 : 682,017,023.40 = 454,678,015.60 : x
  2. Step 2: Convert to fraction form
    454,678,015.60/682,017,023.40 = 454,678,015.60/x
  3. Step 3: Cross multiply
    454,678,015.60x = 682,017,023.40 × 454,678,015.60
  4. Step 4: Simplify right side
    454,678,015.60x = 310,098,146,804,930,752
  5. Step 5: Solve for x
    x = 310,098,146,804,930,752/454,678,015.60
  6. Step 6: Final answer
    x = 682,017,023.40

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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.