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Finding the Fourth Proportional to 1,291,363,722,006, 1,937,045,583,009 and 1,291,363,722,006

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Solution

The fourth proportional to 1,291,363,722,006, 1,937,045,583,009 and 1,291,363,722,006 is: 1,937,045,583,009

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291,363,722,006 : 1,937,045,583,009 = 1,291,363,722,006 : x
  2. Step 2: Convert to fraction form
    1,291,363,722,006/1,937,045,583,009 = 1,291,363,722,006/x
  3. Step 3: Cross multiply
    1,291,363,722,006x = 1,937,045,583,009 × 1,291,363,722,006
  4. Step 4: Simplify right side
    1,291,363,722,006x = 2,501,430,393,769,784,575,524,864
  5. Step 5: Solve for x
    x = 2,501,430,393,769,784,575,524,864/1,291,363,722,006
  6. Step 6: Final answer
    x = 1,937,045,583,009

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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.