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Finding the Fourth Proportional to 871,270,769.40, 1,220,686,069.80 and 871,270,769.40

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Solution

The fourth proportional to 871,270,769.40, 1,220,686,069.80 and 871,270,769.40 is: 1,220,686,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,270,769.40 : 1,220,686,069.80 = 871,270,769.40 : x
  2. Step 2: Convert to fraction form
    871,270,769.40/1,220,686,069.80 = 871,270,769.40/x
  3. Step 3: Cross multiply
    871,270,769.40x = 1,220,686,069.80 × 871,270,769.40
  4. Step 4: Simplify right side
    871,270,769.40x = 1,063,548,091,230,508,032
  5. Step 5: Solve for x
    x = 1,063,548,091,230,508,032/871,270,769.40
  6. Step 6: Final answer
    x = 1,220,686,069.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.