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Finding the Fourth Proportional to 916,496,119.43, 1,375,632,017.84 and 866,723,348.24

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Solution

The fourth proportional to 916,496,119.43, 1,375,632,017.84 and 866,723,348.24 is: 1,300,924,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,496,119.43 : 1,375,632,017.84 = 866,723,348.24 : x
  2. Step 2: Convert to fraction form
    916,496,119.43/1,375,632,017.84 = 866,723,348.24/x
  3. Step 3: Cross multiply
    916,496,119.43x = 1,375,632,017.84 × 866,723,348.24
  4. Step 4: Simplify right side
    916,496,119.43x = 1,192,292,388,443,720,960
  5. Step 5: Solve for x
    x = 1,192,292,388,443,720,960/916,496,119.43
  6. Step 6: Final answer
    x = 1,300,924,644.60

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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.