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Finding the Fourth Proportional to 118,099,673.20, 177,149,509.80 and 118,099,673.20

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Solution

The fourth proportional to 118,099,673.20, 177,149,509.80 and 118,099,673.20 is: 177,149,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,099,673.20 : 177,149,509.80 = 118,099,673.20 : x
  2. Step 2: Convert to fraction form
    118,099,673.20/177,149,509.80 = 118,099,673.20/x
  3. Step 3: Cross multiply
    118,099,673.20x = 177,149,509.80 × 118,099,673.20
  4. Step 4: Simplify right side
    118,099,673.20x = 20,921,299,214,920,200
  5. Step 5: Solve for x
    x = 20,921,299,214,920,200/118,099,673.20
  6. Step 6: Final answer
    x = 177,149,509.80

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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.