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Finding the Fourth Proportional to 10,313,463,012.30, 15,470,194,518.45 and 10,313,463,012.30

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Solution

The fourth proportional to 10,313,463,012.30, 15,470,194,518.45 and 10,313,463,012.30 is: 15,470,194,518.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313,463,012.30 : 15,470,194,518.45 = 10,313,463,012.30 : x
  2. Step 2: Convert to fraction form
    10,313,463,012.30/15,470,194,518.45 = 10,313,463,012.30/x
  3. Step 3: Cross multiply
    10,313,463,012.30x = 15,470,194,518.45 × 10,313,463,012.30
  4. Step 4: Simplify right side
    10,313,463,012.30x = 159,551,278,959,120,285,696
  5. Step 5: Solve for x
    x = 159,551,278,959,120,285,696/10,313,463,012.30
  6. Step 6: Final answer
    x = 15,470,194,518.45

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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.