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Finding the Fourth Proportional to 1,856,763,004.77, 2,785,144,507.14 and 1,856,763,004.77

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Solution

The fourth proportional to 1,856,763,004.77, 2,785,144,507.14 and 1,856,763,004.77 is: 2,785,144,507.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856,763,004.77 : 2,785,144,507.14 = 1,856,763,004.77 : x
  2. Step 2: Convert to fraction form
    1,856,763,004.77/2,785,144,507.14 = 1,856,763,004.77/x
  3. Step 3: Cross multiply
    1,856,763,004.77x = 2,785,144,507.14 × 1,856,763,004.77
  4. Step 4: Simplify right side
    1,856,763,004.77x = 5,171,353,283,795,927,040
  5. Step 5: Solve for x
    x = 5,171,353,283,795,927,040/1,856,763,004.77
  6. Step 6: Final answer
    x = 2,785,144,507.14

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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.