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Finding the Fourth Proportional to 1,954,967,509.60, 2,932,451,264.40 and 1,954,967,509.60

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Solution

The fourth proportional to 1,954,967,509.60, 2,932,451,264.40 and 1,954,967,509.60 is: 2,932,451,264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954,967,509.60 : 2,932,451,264.40 = 1,954,967,509.60 : x
  2. Step 2: Convert to fraction form
    1,954,967,509.60/2,932,451,264.40 = 1,954,967,509.60/x
  3. Step 3: Cross multiply
    1,954,967,509.60x = 2,932,451,264.40 × 1,954,967,509.60
  4. Step 4: Simplify right side
    1,954,967,509.60x = 5,732,846,945,387,439,104
  5. Step 5: Solve for x
    x = 5,732,846,945,387,439,104/1,954,967,509.60
  6. Step 6: Final answer
    x = 2,932,451,264.40

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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.