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Finding the Fourth Proportional to 2,125,765,863.90, 2,969,184,734.10 and 2,125,765,863.90

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Solution

The fourth proportional to 2,125,765,863.90, 2,969,184,734.10 and 2,125,765,863.90 is: 2,969,184,734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125,765,863.90 : 2,969,184,734.10 = 2,125,765,863.90 : x
  2. Step 2: Convert to fraction form
    2,125,765,863.90/2,969,184,734.10 = 2,125,765,863.90/x
  3. Step 3: Cross multiply
    2,125,765,863.90x = 2,969,184,734.10 × 2,125,765,863.90
  4. Step 4: Simplify right side
    2,125,765,863.90x = 6,311,791,551,362,778,112
  5. Step 5: Solve for x
    x = 6,311,791,551,362,778,112/2,125,765,863.90
  6. Step 6: Final answer
    x = 2,969,184,734.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.