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Finding the Fourth Proportional to 10,778,783,450.40, 16,168,175,175.60 and 10,778,783,450.40

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Solution

The fourth proportional to 10,778,783,450.40, 16,168,175,175.60 and 10,778,783,450.40 is: 16,168,175,175.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778,783,450.40 : 16,168,175,175.60 = 10,778,783,450.40 : x
  2. Step 2: Convert to fraction form
    10,778,783,450.40/16,168,175,175.60 = 10,778,783,450.40/x
  3. Step 3: Cross multiply
    10,778,783,450.40x = 16,168,175,175.60 × 10,778,783,450.40
  4. Step 4: Simplify right side
    10,778,783,450.40x = 174,273,259,005,925,392,384
  5. Step 5: Solve for x
    x = 174,273,259,005,925,392,384/10,778,783,450.40
  6. Step 6: Final answer
    x = 16,168,175,175.60

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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.