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Finding the Fourth Proportional to 871,120,404, 1,202,130,955.20 and 474,646,675.32

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Solution

The fourth proportional to 871,120,404, 1,202,130,955.20 and 474,646,675.32 is: 655,004,128.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,120,404 : 1,202,130,955.20 = 474,646,675.32 : x
  2. Step 2: Convert to fraction form
    871,120,404/1,202,130,955.20 = 474,646,675.32/x
  3. Step 3: Cross multiply
    871,120,404x = 1,202,130,955.20 × 474,646,675.32
  4. Step 4: Simplify right side
    871,120,404x = 570,587,461,184,935,872
  5. Step 5: Solve for x
    x = 570,587,461,184,935,872/871,120,404
  6. Step 6: Final answer
    x = 655,004,128.67

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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.