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Finding the Fourth Proportional to 9,196,446,117.60, 13,794,669,176.40 and 9,196,446,117.60

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Solution

The fourth proportional to 9,196,446,117.60, 13,794,669,176.40 and 9,196,446,117.60 is: 13,794,669,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196,446,117.60 : 13,794,669,176.40 = 9,196,446,117.60 : x
  2. Step 2: Convert to fraction form
    9,196,446,117.60/13,794,669,176.40 = 9,196,446,117.60/x
  3. Step 3: Cross multiply
    9,196,446,117.60x = 13,794,669,176.40 × 9,196,446,117.60
  4. Step 4: Simplify right side
    9,196,446,117.60x = 126,861,931,790,880,178,176
  5. Step 5: Solve for x
    x = 126,861,931,790,880,178,176/9,196,446,117.60
  6. Step 6: Final answer
    x = 13,794,669,176.40

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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.