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Finding the Fourth Proportional to 7,848,009.90, 11,012,408.10 and 7,848,009.90

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Solution

The fourth proportional to 7,848,009.90, 11,012,408.10 and 7,848,009.90 is: 11,012,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848,009.90 : 11,012,408.10 = 7,848,009.90 : x
  2. Step 2: Convert to fraction form
    7,848,009.90/11,012,408.10 = 7,848,009.90/x
  3. Step 3: Cross multiply
    7,848,009.90x = 11,012,408.10 × 7,848,009.90
  4. Step 4: Simplify right side
    7,848,009.90x = 86,425,487,791,640.19
  5. Step 5: Solve for x
    x = 86,425,487,791,640.19/7,848,009.90
  6. Step 6: Final answer
    x = 11,012,408.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.