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Finding the Fourth Proportional to 1,401,686,856.68, 2,102,530,285.01 and 1,401,686,856.68

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Solution

The fourth proportional to 1,401,686,856.68, 2,102,530,285.01 and 1,401,686,856.68 is: 2,102,530,285.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401,686,856.68 : 2,102,530,285.01 = 1,401,686,856.68 : x
  2. Step 2: Convert to fraction form
    1,401,686,856.68/2,102,530,285.01 = 1,401,686,856.68/x
  3. Step 3: Cross multiply
    1,401,686,856.68x = 2,102,530,285.01 × 1,401,686,856.68
  4. Step 4: Simplify right side
    1,401,686,856.68x = 2,947,089,066,263,162,880
  5. Step 5: Solve for x
    x = 2,947,089,066,263,162,880/1,401,686,856.68
  6. Step 6: Final answer
    x = 2,102,530,285.01

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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.