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Finding the Fourth Proportional to 5,667,739,783,668.40, 8,501,609,675,503.60 and 5,667,739,783,668.40

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Solution

The fourth proportional to 5,667,739,783,668.40, 8,501,609,675,503.60 and 5,667,739,783,668.40 is: 8,501,609,675,503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667,739,783,668.40 : 8,501,609,675,503.60 = 5,667,739,783,668.40 : x
  2. Step 2: Convert to fraction form
    5,667,739,783,668.40/8,501,609,675,503.60 = 5,667,739,783,668.40/x
  3. Step 3: Cross multiply
    5,667,739,783,668.40x = 8,501,609,675,503.60 × 5,667,739,783,668.40
  4. Step 4: Simplify right side
    5,667,739,783,668.40x = 48,184,911,383,071,951,895,396,352
  5. Step 5: Solve for x
    x = 48,184,911,383,071,951,895,396,352/5,667,739,783,668.40
  6. Step 6: Final answer
    x = 8,501,609,675,503.60

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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.