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Finding the Fourth Proportional to 200,764,047.60, 301,146,071.40 and 149,745,711.60

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Solution

The fourth proportional to 200,764,047.60, 301,146,071.40 and 149,745,711.60 is: 224,618,567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,764,047.60 : 301,146,071.40 = 149,745,711.60 : x
  2. Step 2: Convert to fraction form
    200,764,047.60/301,146,071.40 = 149,745,711.60/x
  3. Step 3: Cross multiply
    200,764,047.60x = 301,146,071.40 × 149,745,711.60
  4. Step 4: Simplify right side
    200,764,047.60x = 45,095,332,757,337,400
  5. Step 5: Solve for x
    x = 45,095,332,757,337,400/200,764,047.60
  6. Step 6: Final answer
    x = 224,618,567.40

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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.