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Finding the Fourth Proportional to 871,282,431.40, 1,306,923,647.10 and 866,180,597.80

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Solution

The fourth proportional to 871,282,431.40, 1,306,923,647.10 and 866,180,597.80 is: 1,299,270,896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,282,431.40 : 1,306,923,647.10 = 866,180,597.80 : x
  2. Step 2: Convert to fraction form
    871,282,431.40/1,306,923,647.10 = 866,180,597.80/x
  3. Step 3: Cross multiply
    871,282,431.40x = 1,306,923,647.10 × 866,180,597.80
  4. Step 4: Simplify right side
    871,282,431.40x = 1,132,031,905,924,034,048
  5. Step 5: Solve for x
    x = 1,132,031,905,924,034,048/871,282,431.40
  6. Step 6: Final answer
    x = 1,299,270,896.70

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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.