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Finding the Fourth Proportional to 12,465,483,920,015, 18,698,225,880,024 and 12,465,483,920,015

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Solution

The fourth proportional to 12,465,483,920,015, 18,698,225,880,024 and 12,465,483,920,015 is: 18,698,225,880,024

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465,483,920,015 : 18,698,225,880,024 = 12,465,483,920,015 : x
  2. Step 2: Convert to fraction form
    12,465,483,920,015/18,698,225,880,024 = 12,465,483,920,015/x
  3. Step 3: Cross multiply
    12,465,483,920,015x = 18,698,225,880,024 × 12,465,483,920,015
  4. Step 4: Simplify right side
    12,465,483,920,015x = 233,082,434,040,247,508,784,906,240
  5. Step 5: Solve for x
    x = 233,082,434,040,247,508,784,906,240/12,465,483,920,015
  6. Step 6: Final answer
    x = 18,698,225,880,024

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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.