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Finding the Fourth Proportional to 170,123,749,765.20, 255,185,624,647.80 and 170,123,749,765.20

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Solution

The fourth proportional to 170,123,749,765.20, 255,185,624,647.80 and 170,123,749,765.20 is: 255,185,624,647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,123,749,765.20 : 255,185,624,647.80 = 170,123,749,765.20 : x
  2. Step 2: Convert to fraction form
    170,123,749,765.20/255,185,624,647.80 = 170,123,749,765.20/x
  3. Step 3: Cross multiply
    170,123,749,765.20x = 255,185,624,647.80 × 170,123,749,765.20
  4. Step 4: Simplify right side
    170,123,749,765.20x = 43,413,135,351,258,583,924,736
  5. Step 5: Solve for x
    x = 43,413,135,351,258,583,924,736/170,123,749,765.20
  6. Step 6: Final answer
    x = 255,185,624,647.80

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1.5x scale

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.