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Finding the Fourth Proportional to 419,904,386.40, 629,856,579.60 and 147,176,738.40

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Solution

The fourth proportional to 419,904,386.40, 629,856,579.60 and 147,176,738.40 is: 220,765,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,904,386.40 : 629,856,579.60 = 147,176,738.40 : x
  2. Step 2: Convert to fraction form
    419,904,386.40/629,856,579.60 = 147,176,738.40/x
  3. Step 3: Cross multiply
    419,904,386.40x = 629,856,579.60 × 147,176,738.40
  4. Step 4: Simplify right side
    419,904,386.40x = 92,700,237,045,307,984
  5. Step 5: Solve for x
    x = 92,700,237,045,307,984/419,904,386.40
  6. Step 6: Final answer
    x = 220,765,107.60

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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.