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Finding the Fourth Proportional to 2,181,033,864,027.90, 3,271,550,796,041.90 and 2,181,033,864,027.90

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Solution

The fourth proportional to 2,181,033,864,027.90, 3,271,550,796,041.90 and 2,181,033,864,027.90 is: 3,271,550,796,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181,033,864,027.90 : 3,271,550,796,041.90 = 2,181,033,864,027.90 : x
  2. Step 2: Convert to fraction form
    2,181,033,864,027.90/3,271,550,796,041.90 = 2,181,033,864,027.90/x
  3. Step 3: Cross multiply
    2,181,033,864,027.90x = 3,271,550,796,041.90 × 2,181,033,864,027.90
  4. Step 4: Simplify right side
    2,181,033,864,027.90x = 7,135,363,074,054,816,507,363,328
  5. Step 5: Solve for x
    x = 7,135,363,074,054,816,507,363,328/2,181,033,864,027.90
  6. Step 6: Final answer
    x = 3,271,550,796,041.90

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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.