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Finding the Fourth Proportional to 949,968,206.10, 1,422,684,827.55 and 949,968,206.10

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Solution

The fourth proportional to 949,968,206.10, 1,422,684,827.55 and 949,968,206.10 is: 1,422,684,827.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,968,206.10 : 1,422,684,827.55 = 949,968,206.10 : x
  2. Step 2: Convert to fraction form
    949,968,206.10/1,422,684,827.55 = 949,968,206.10/x
  3. Step 3: Cross multiply
    949,968,206.10x = 1,422,684,827.55 × 949,968,206.10
  4. Step 4: Simplify right side
    949,968,206.10x = 1,351,505,353,473,361,408
  5. Step 5: Solve for x
    x = 1,351,505,353,473,361,408/949,968,206.10
  6. Step 6: Final answer
    x = 1,422,684,827.55

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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.