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Finding the Fourth Proportional to 2,583,433,115,999.50, 3,875,149,673,999.20 and 2,583,433,115,999.50

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Solution

The fourth proportional to 2,583,433,115,999.50, 3,875,149,673,999.20 and 2,583,433,115,999.50 is: 3,875,149,673,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583,433,115,999.50 : 3,875,149,673,999.20 = 2,583,433,115,999.50 : x
  2. Step 2: Convert to fraction form
    2,583,433,115,999.50/3,875,149,673,999.20 = 2,583,433,115,999.50/x
  3. Step 3: Cross multiply
    2,583,433,115,999.50x = 3,875,149,673,999.20 × 2,583,433,115,999.50
  4. Step 4: Simplify right side
    2,583,433,115,999.50x = 10,011,189,997,264,199,934,279,680
  5. Step 5: Solve for x
    x = 10,011,189,997,264,199,934,279,680/2,583,433,115,999.50
  6. Step 6: Final answer
    x = 3,875,149,673,999.20

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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.