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Finding the Fourth Proportional to 110,009,843,999.70, 165,014,765,999.55 and 110,009,843,999.70

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Solution

The fourth proportional to 110,009,843,999.70, 165,014,765,999.55 and 110,009,843,999.70 is: 165,014,765,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,009,843,999.70 : 165,014,765,999.55 = 110,009,843,999.70 : x
  2. Step 2: Convert to fraction form
    110,009,843,999.70/165,014,765,999.55 = 110,009,843,999.70/x
  3. Step 3: Cross multiply
    110,009,843,999.70x = 165,014,765,999.55 × 110,009,843,999.70
  4. Step 4: Simplify right side
    110,009,843,999.70x = 18,153,248,665,257,493,135,360
  5. Step 5: Solve for x
    x = 18,153,248,665,257,493,135,360/110,009,843,999.70
  6. Step 6: Final answer
    x = 165,014,765,999.55

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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.