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Finding the Fourth Proportional to 295,949,006.40, 443,923,509.60 and 295,949,006.40

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Solution

The fourth proportional to 295,949,006.40, 443,923,509.60 and 295,949,006.40 is: 443,923,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,949,006.40 : 443,923,509.60 = 295,949,006.40 : x
  2. Step 2: Convert to fraction form
    295,949,006.40/443,923,509.60 = 295,949,006.40/x
  3. Step 3: Cross multiply
    295,949,006.40x = 443,923,509.60 × 295,949,006.40
  4. Step 4: Simplify right side
    295,949,006.40x = 131,378,721,583,720,864
  5. Step 5: Solve for x
    x = 131,378,721,583,720,864/295,949,006.40
  6. Step 6: Final answer
    x = 443,923,509.60

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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.