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Finding the Fourth Proportional to 1,291,363,722,010, 1,937,045,583,015 and 1,291,363,722,010

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Solution

The fourth proportional to 1,291,363,722,010, 1,937,045,583,015 and 1,291,363,722,010 is: 1,937,045,583,015

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291,363,722,010 : 1,937,045,583,015 = 1,291,363,722,010 : x
  2. Step 2: Convert to fraction form
    1,291,363,722,010/1,937,045,583,015 = 1,291,363,722,010/x
  3. Step 3: Cross multiply
    1,291,363,722,010x = 1,937,045,583,015 × 1,291,363,722,010
  4. Step 4: Simplify right side
    1,291,363,722,010x = 2,501,430,393,785,280,817,528,832
  5. Step 5: Solve for x
    x = 2,501,430,393,785,280,817,528,832/1,291,363,722,010
  6. Step 6: Final answer
    x = 1,937,045,583,015

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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.