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Finding the Fourth Proportional to 974,311,863.30, 1,461,467,794.95 and 974,311,863.30

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Solution

The fourth proportional to 974,311,863.30, 1,461,467,794.95 and 974,311,863.30 is: 1,461,467,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,311,863.30 : 1,461,467,794.95 = 974,311,863.30 : x
  2. Step 2: Convert to fraction form
    974,311,863.30/1,461,467,794.95 = 974,311,863.30/x
  3. Step 3: Cross multiply
    974,311,863.30x = 1,461,467,794.95 × 974,311,863.30
  4. Step 4: Simplify right side
    974,311,863.30x = 1,423,925,410,450,676,736
  5. Step 5: Solve for x
    x = 1,423,925,410,450,676,736/974,311,863.30
  6. Step 6: Final answer
    x = 1,461,467,794.95

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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.