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Finding the Fourth Proportional to 307,897,275, 424,894,854.54 and 166,764,984.54

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Solution

The fourth proportional to 307,897,275, 424,894,854.54 and 166,764,984.54 is: 230,133,845.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,897,275 : 424,894,854.54 = 166,764,984.54 : x
  2. Step 2: Convert to fraction form
    307,897,275/424,894,854.54 = 166,764,984.54/x
  3. Step 3: Cross multiply
    307,897,275x = 424,894,854.54 × 166,764,984.54
  4. Step 4: Simplify right side
    307,897,275x = 70,857,583,848,488,648
  5. Step 5: Solve for x
    x = 70,857,583,848,488,648/307,897,275
  6. Step 6: Final answer
    x = 230,133,845.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.