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Finding the Fourth Proportional to 174,432,081,815.20, 261,648,122,722.80 and 174,432,081,815.20

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Solution

The fourth proportional to 174,432,081,815.20, 261,648,122,722.80 and 174,432,081,815.20 is: 261,648,122,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,432,081,815.20 : 261,648,122,722.80 = 174,432,081,815.20 : x
  2. Step 2: Convert to fraction form
    174,432,081,815.20/261,648,122,722.80 = 174,432,081,815.20/x
  3. Step 3: Cross multiply
    174,432,081,815.20x = 261,648,122,722.80 × 174,432,081,815.20
  4. Step 4: Simplify right side
    174,432,081,815.20x = 45,639,826,749,576,940,879,872
  5. Step 5: Solve for x
    x = 45,639,826,749,576,940,879,872/174,432,081,815.20
  6. Step 6: Final answer
    x = 261,648,122,722.80

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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.