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Finding the Fourth Proportional to 122,593,603,982.10, 183,890,405,973.15 and 122,593,603,982.10

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Solution

The fourth proportional to 122,593,603,982.10, 183,890,405,973.15 and 122,593,603,982.10 is: 183,890,405,973.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,593,603,982.10 : 183,890,405,973.15 = 122,593,603,982.10 : x
  2. Step 2: Convert to fraction form
    122,593,603,982.10/183,890,405,973.15 = 122,593,603,982.10/x
  3. Step 3: Cross multiply
    122,593,603,982.10x = 183,890,405,973.15 × 122,593,603,982.10
  4. Step 4: Simplify right side
    122,593,603,982.10x = 22,543,787,605,979,945,762,816
  5. Step 5: Solve for x
    x = 22,543,787,605,979,945,762,816/122,593,603,982.10
  6. Step 6: Final answer
    x = 183,890,405,973.15

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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.