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Finding the Fourth Proportional to 90,400,416,000.40, 135,600,624,000.60 and 90,400,416,000.40

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Solution

The fourth proportional to 90,400,416,000.40, 135,600,624,000.60 and 90,400,416,000.40 is: 135,600,624,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,400,416,000.40 : 135,600,624,000.60 = 90,400,416,000.40 : x
  2. Step 2: Convert to fraction form
    90,400,416,000.40/135,600,624,000.60 = 90,400,416,000.40/x
  3. Step 3: Cross multiply
    90,400,416,000.40x = 135,600,624,000.60 × 90,400,416,000.40
  4. Step 4: Simplify right side
    90,400,416,000.40x = 12,258,352,819,568,063,283,200
  5. Step 5: Solve for x
    x = 12,258,352,819,568,063,283,200/90,400,416,000.40
  6. Step 6: Final answer
    x = 135,600,624,000.60

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1.5x scale

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.