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Finding the Fourth Proportional to 166,142,708.80, 249,214,063.20 and 166,142,708.80

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Solution

The fourth proportional to 166,142,708.80, 249,214,063.20 and 166,142,708.80 is: 249,214,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,142,708.80 : 249,214,063.20 = 166,142,708.80 : x
  2. Step 2: Convert to fraction form
    166,142,708.80/249,214,063.20 = 166,142,708.80/x
  3. Step 3: Cross multiply
    166,142,708.80x = 249,214,063.20 × 166,142,708.80
  4. Step 4: Simplify right side
    166,142,708.80x = 41,405,099,531,102,400
  5. Step 5: Solve for x
    x = 41,405,099,531,102,400/166,142,708.80
  6. Step 6: Final answer
    x = 249,214,063.20

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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.