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Finding the Fourth Proportional to 165,583,871,998.80, 248,375,807,998.20 and 165,583,871,998.80

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Solution

The fourth proportional to 165,583,871,998.80, 248,375,807,998.20 and 165,583,871,998.80 is: 248,375,807,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,583,871,998.80 : 248,375,807,998.20 = 165,583,871,998.80 : x
  2. Step 2: Convert to fraction form
    165,583,871,998.80/248,375,807,998.20 = 165,583,871,998.80/x
  3. Step 3: Cross multiply
    165,583,871,998.80x = 248,375,807,998.20 × 165,583,871,998.80
  4. Step 4: Simplify right side
    165,583,871,998.80x = 41,127,027,999,172,473,126,912
  5. Step 5: Solve for x
    x = 41,127,027,999,172,473,126,912/165,583,871,998.80
  6. Step 6: Final answer
    x = 248,375,807,998.20

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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.