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Finding the Fourth Proportional to 784,797,280,329.75, 1,177,195,920,494.60 and 784,797,280,329.75

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Solution

The fourth proportional to 784,797,280,329.75, 1,177,195,920,494.60 and 784,797,280,329.75 is: 1,177,195,920,494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,797,280,329.75 : 1,177,195,920,494.60 = 784,797,280,329.75 : x
  2. Step 2: Convert to fraction form
    784,797,280,329.75/1,177,195,920,494.60 = 784,797,280,329.75/x
  3. Step 3: Cross multiply
    784,797,280,329.75x = 1,177,195,920,494.60 × 784,797,280,329.75
  4. Step 4: Simplify right side
    784,797,280,329.75x = 923,860,156,819,438,827,470,848
  5. Step 5: Solve for x
    x = 923,860,156,819,438,827,470,848/784,797,280,329.75
  6. Step 6: Final answer
    x = 1,177,195,920,494.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.