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Finding the Fourth Proportional to 6,649,004.21, 9,973,509.05 and 1,600,314.71

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Solution

The fourth proportional to 6,649,004.21, 9,973,509.05 and 1,600,314.71 is: 2,400,472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649,004.21 : 9,973,509.05 = 1,600,314.71 : x
  2. Step 2: Convert to fraction form
    6,649,004.21/9,973,509.05 = 1,600,314.71/x
  3. Step 3: Cross multiply
    6,649,004.21x = 9,973,509.05 × 1,600,314.71
  4. Step 4: Simplify right side
    6,649,004.21x = 15,960,753,243,033.13
  5. Step 5: Solve for x
    x = 15,960,753,243,033.13/6,649,004.21
  6. Step 6: Final answer
    x = 2,400,472.72

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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.