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Finding the Fourth Proportional to 14,302,119,168,006, 21,453,178,752,010 and 14,302,119,168,006

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Solution

The fourth proportional to 14,302,119,168,006, 21,453,178,752,010 and 14,302,119,168,006 is: 21,453,178,752,010

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302,119,168,006 : 21,453,178,752,010 = 14,302,119,168,006 : x
  2. Step 2: Convert to fraction form
    14,302,119,168,006/21,453,178,752,010 = 14,302,119,168,006/x
  3. Step 3: Cross multiply
    14,302,119,168,006x = 21,453,178,752,010 × 14,302,119,168,006
  4. Step 4: Simplify right side
    14,302,119,168,006x = 306,825,919,043,781,269,701,787,648
  5. Step 5: Solve for x
    x = 306,825,919,043,781,269,701,787,648/14,302,119,168,006
  6. Step 6: Final answer
    x = 21,453,178,752,010

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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.