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Finding the Fourth Proportional to 1,291,363,722,014, 1,937,045,583,021 and 1,291,363,722,014

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Solution

The fourth proportional to 1,291,363,722,014, 1,937,045,583,021 and 1,291,363,722,014 is: 1,937,045,583,021

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291,363,722,014 : 1,937,045,583,021 = 1,291,363,722,014 : x
  2. Step 2: Convert to fraction form
    1,291,363,722,014/1,937,045,583,021 = 1,291,363,722,014/x
  3. Step 3: Cross multiply
    1,291,363,722,014x = 1,937,045,583,021 × 1,291,363,722,014
  4. Step 4: Simplify right side
    1,291,363,722,014x = 2,501,430,393,800,777,059,532,800
  5. Step 5: Solve for x
    x = 2,501,430,393,800,777,059,532,800/1,291,363,722,014
  6. Step 6: Final answer
    x = 1,937,045,583,021

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.