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Finding the Fourth Proportional to 189,205,237.80, 283,807,856.70 and 189,205,237.80

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Solution

The fourth proportional to 189,205,237.80, 283,807,856.70 and 189,205,237.80 is: 283,807,856.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,205,237.80 : 283,807,856.70 = 189,205,237.80 : x
  2. Step 2: Convert to fraction form
    189,205,237.80/283,807,856.70 = 189,205,237.80/x
  3. Step 3: Cross multiply
    189,205,237.80x = 283,807,856.70 × 189,205,237.80
  4. Step 4: Simplify right side
    189,205,237.80x = 53,697,933,016,431,824
  5. Step 5: Solve for x
    x = 53,697,933,016,431,824/189,205,237.80
  6. Step 6: Final answer
    x = 283,807,856.70

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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.