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Finding the Fourth Proportional to 871,120,405, 1,202,130,956.58 and 474,646,676.32

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Solution

The fourth proportional to 871,120,405, 1,202,130,956.58 and 474,646,676.32 is: 655,004,130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,120,405 : 1,202,130,956.58 = 474,646,676.32 : x
  2. Step 2: Convert to fraction form
    871,120,405/1,202,130,956.58 = 474,646,676.32/x
  3. Step 3: Cross multiply
    871,120,405x = 1,202,130,956.58 × 474,646,676.32
  4. Step 4: Simplify right side
    871,120,405x = 570,587,463,042,079,168
  5. Step 5: Solve for x
    x = 570,587,463,042,079,168/871,120,405
  6. Step 6: Final answer
    x = 655,004,130.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.