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Finding the Fourth Proportional to 2,197,686,048,905.60, 3,296,529,073,358.50 and 2,197,686,048,905.60

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Solution

The fourth proportional to 2,197,686,048,905.60, 3,296,529,073,358.50 and 2,197,686,048,905.60 is: 3,296,529,073,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197,686,048,905.60 : 3,296,529,073,358.50 = 2,197,686,048,905.60 : x
  2. Step 2: Convert to fraction form
    2,197,686,048,905.60/3,296,529,073,358.50 = 2,197,686,048,905.60/x
  3. Step 3: Cross multiply
    2,197,686,048,905.60x = 3,296,529,073,358.50 × 2,197,686,048,905.60
  4. Step 4: Simplify right side
    2,197,686,048,905.60x = 7,244,735,954,331,681,075,232,768
  5. Step 5: Solve for x
    x = 7,244,735,954,331,681,075,232,768/2,197,686,048,905.60
  6. Step 6: Final answer
    x = 3,296,529,073,358.50

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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.