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Finding the Fourth Proportional to 107,656,410,629.40, 161,484,615,944.10 and 107,656,410,629.40

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Solution

The fourth proportional to 107,656,410,629.40, 161,484,615,944.10 and 107,656,410,629.40 is: 161,484,615,944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,656,410,629.40 : 161,484,615,944.10 = 107,656,410,629.40 : x
  2. Step 2: Convert to fraction form
    107,656,410,629.40/161,484,615,944.10 = 107,656,410,629.40/x
  3. Step 3: Cross multiply
    107,656,410,629.40x = 161,484,615,944.10 × 107,656,410,629.40
  4. Step 4: Simplify right side
    107,656,410,629.40x = 17,384,854,124,408,984,305,664
  5. Step 5: Solve for x
    x = 17,384,854,124,408,984,305,664/107,656,410,629.40
  6. Step 6: Final answer
    x = 161,484,615,944.10

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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.