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Finding the Fourth Proportional to 7,848,000.40, 11,012,394.80 and 7,848,000.40

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Solution

The fourth proportional to 7,848,000.40, 11,012,394.80 and 7,848,000.40 is: 11,012,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848,000.40 : 11,012,394.80 = 7,848,000.40 : x
  2. Step 2: Convert to fraction form
    7,848,000.40/11,012,394.80 = 7,848,000.40/x
  3. Step 3: Cross multiply
    7,848,000.40x = 11,012,394.80 × 7,848,000.40
  4. Step 4: Simplify right side
    7,848,000.40x = 86,425,278,795,357.94
  5. Step 5: Solve for x
    x = 86,425,278,795,357.94/7,848,000.40
  6. Step 6: Final answer
    x = 11,012,394.80

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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.