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Finding the Fourth Proportional to 77,149,898,358.20, 115,724,847,537.30 and 77,149,898,358.20

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Solution

The fourth proportional to 77,149,898,358.20, 115,724,847,537.30 and 77,149,898,358.20 is: 115,724,847,537.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,149,898,358.20 : 115,724,847,537.30 = 77,149,898,358.20 : x
  2. Step 2: Convert to fraction form
    77,149,898,358.20/115,724,847,537.30 = 77,149,898,358.20/x
  3. Step 3: Cross multiply
    77,149,898,358.20x = 115,724,847,537.30 × 77,149,898,358.20
  4. Step 4: Simplify right side
    77,149,898,358.20x = 8,928,160,225,020,886,384,640
  5. Step 5: Solve for x
    x = 8,928,160,225,020,886,384,640/77,149,898,358.20
  6. Step 6: Final answer
    x = 115,724,847,537.30

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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.