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Finding the Fourth Proportional to 189,551,996.80, 283,824,110.40 and 189,551,996.80

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Solution

The fourth proportional to 189,551,996.80, 283,824,110.40 and 189,551,996.80 is: 283,824,110.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,551,996.80 : 283,824,110.40 = 189,551,996.80 : x
  2. Step 2: Convert to fraction form
    189,551,996.80/283,824,110.40 = 189,551,996.80/x
  3. Step 3: Cross multiply
    189,551,996.80x = 283,824,110.40 × 189,551,996.80
  4. Step 4: Simplify right side
    189,551,996.80x = 53,799,426,866,303,648
  5. Step 5: Solve for x
    x = 53,799,426,866,303,648/189,551,996.80
  6. Step 6: Final answer
    x = 283,824,110.40

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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.