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Finding the Fourth Proportional to 1,291,363,722,008, 1,937,045,583,012 and 1,291,363,722,008

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Solution

The fourth proportional to 1,291,363,722,008, 1,937,045,583,012 and 1,291,363,722,008 is: 1,937,045,583,012

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291,363,722,008 : 1,937,045,583,012 = 1,291,363,722,008 : x
  2. Step 2: Convert to fraction form
    1,291,363,722,008/1,937,045,583,012 = 1,291,363,722,008/x
  3. Step 3: Cross multiply
    1,291,363,722,008x = 1,937,045,583,012 × 1,291,363,722,008
  4. Step 4: Simplify right side
    1,291,363,722,008x = 2,501,430,393,777,532,696,526,848
  5. Step 5: Solve for x
    x = 2,501,430,393,777,532,696,526,848/1,291,363,722,008
  6. Step 6: Final answer
    x = 1,937,045,583,012

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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.