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Finding the Fourth Proportional to 6,378,259,237.80, 9,567,388,856.70 and 6,378,259,237.80

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Solution

The fourth proportional to 6,378,259,237.80, 9,567,388,856.70 and 6,378,259,237.80 is: 9,567,388,856.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378,259,237.80 : 9,567,388,856.70 = 6,378,259,237.80 : x
  2. Step 2: Convert to fraction form
    6,378,259,237.80/9,567,388,856.70 = 6,378,259,237.80/x
  3. Step 3: Cross multiply
    6,378,259,237.80x = 9,567,388,856.70 × 6,378,259,237.80
  4. Step 4: Simplify right side
    6,378,259,237.80x = 61,023,286,356,871,561,216
  5. Step 5: Solve for x
    x = 61,023,286,356,871,561,216/6,378,259,237.80
  6. Step 6: Final answer
    x = 9,567,388,856.70

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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.