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Finding the Fourth Proportional to 402,409,605.70, 603,614,408.55 and 402,409,605.70

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Solution

The fourth proportional to 402,409,605.70, 603,614,408.55 and 402,409,605.70 is: 603,614,408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,409,605.70 : 603,614,408.55 = 402,409,605.70 : x
  2. Step 2: Convert to fraction form
    402,409,605.70/603,614,408.55 = 402,409,605.70/x
  3. Step 3: Cross multiply
    402,409,605.70x = 603,614,408.55 × 402,409,605.70
  4. Step 4: Simplify right side
    402,409,605.70x = 242,900,236,139,444,192
  5. Step 5: Solve for x
    x = 242,900,236,139,444,192/402,409,605.70
  6. Step 6: Final answer
    x = 603,614,408.55

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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.