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Finding the Fourth Proportional to 6,863,178,733.60, 10,294,768,100.40 and 6,863,178,733.60

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Solution

The fourth proportional to 6,863,178,733.60, 10,294,768,100.40 and 6,863,178,733.60 is: 10,294,768,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863,178,733.60 : 10,294,768,100.40 = 6,863,178,733.60 : x
  2. Step 2: Convert to fraction form
    6,863,178,733.60/10,294,768,100.40 = 6,863,178,733.60/x
  3. Step 3: Cross multiply
    6,863,178,733.60x = 10,294,768,100.40 × 6,863,178,733.60
  4. Step 4: Simplify right side
    6,863,178,733.60x = 70,654,833,494,008,954,880
  5. Step 5: Solve for x
    x = 70,654,833,494,008,954,880/6,863,178,733.60
  6. Step 6: Final answer
    x = 10,294,768,100.40

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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.