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Finding the Fourth Proportional to 784,797,286,441.90, 1,177,195,929,662.90 and 784,797,286,441.90

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Solution

The fourth proportional to 784,797,286,441.90, 1,177,195,929,662.90 and 784,797,286,441.90 is: 1,177,195,929,662.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,797,286,441.90 : 1,177,195,929,662.90 = 784,797,286,441.90 : x
  2. Step 2: Convert to fraction form
    784,797,286,441.90/1,177,195,929,662.90 = 784,797,286,441.90/x
  3. Step 3: Cross multiply
    784,797,286,441.90x = 1,177,195,929,662.90 × 784,797,286,441.90
  4. Step 4: Simplify right side
    784,797,286,441.90x = 923,860,171,209,893,585,354,752
  5. Step 5: Solve for x
    x = 923,860,171,209,893,585,354,752/784,797,286,441.90
  6. Step 6: Final answer
    x = 1,177,195,929,662.90

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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.