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Finding the Fourth Proportional to 402,409,830.60, 603,614,745.90 and 402,409,830.60

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Solution

The fourth proportional to 402,409,830.60, 603,614,745.90 and 402,409,830.60 is: 603,614,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,409,830.60 : 603,614,745.90 = 402,409,830.60 : x
  2. Step 2: Convert to fraction form
    402,409,830.60/603,614,745.90 = 402,409,830.60/x
  3. Step 3: Cross multiply
    402,409,830.60x = 603,614,745.90 × 402,409,830.60
  4. Step 4: Simplify right side
    402,409,830.60x = 242,900,507,645,281,056
  5. Step 5: Solve for x
    x = 242,900,507,645,281,056/402,409,830.60
  6. Step 6: Final answer
    x = 603,614,745.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.