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Finding the Fourth Proportional to 179,959,872,022.60, 269,939,808,033.90 and 179,959,872,022.60

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Solution

The fourth proportional to 179,959,872,022.60, 269,939,808,033.90 and 179,959,872,022.60 is: 269,939,808,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,959,872,022.60 : 269,939,808,033.90 = 179,959,872,022.60 : x
  2. Step 2: Convert to fraction form
    179,959,872,022.60/269,939,808,033.90 = 179,959,872,022.60/x
  3. Step 3: Cross multiply
    179,959,872,022.60x = 269,939,808,033.90 × 179,959,872,022.60
  4. Step 4: Simplify right side
    179,959,872,022.60x = 48,578,333,307,585,853,128,704
  5. Step 5: Solve for x
    x = 48,578,333,307,585,853,128,704/179,959,872,022.60
  6. Step 6: Final answer
    x = 269,939,808,033.90

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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.