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Finding the Fourth Proportional to 166,098,305.80, 249,147,458.70 and 166,098,305.80

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Solution

The fourth proportional to 166,098,305.80, 249,147,458.70 and 166,098,305.80 is: 249,147,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,098,305.80 : 249,147,458.70 = 166,098,305.80 : x
  2. Step 2: Convert to fraction form
    166,098,305.80/249,147,458.70 = 166,098,305.80/x
  3. Step 3: Cross multiply
    166,098,305.80x = 249,147,458.70 × 166,098,305.80
  4. Step 4: Simplify right side
    166,098,305.80x = 41,382,970,784,445,472
  5. Step 5: Solve for x
    x = 41,382,970,784,445,472/166,098,305.80
  6. Step 6: Final answer
    x = 249,147,458.70

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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.