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Finding the Fourth Proportional to 974,313,619.80, 1,461,470,429.70 and 974,313,619.80

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Solution

The fourth proportional to 974,313,619.80, 1,461,470,429.70 and 974,313,619.80 is: 1,461,470,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,313,619.80 : 1,461,470,429.70 = 974,313,619.80 : x
  2. Step 2: Convert to fraction form
    974,313,619.80/1,461,470,429.70 = 974,313,619.80/x
  3. Step 3: Cross multiply
    974,313,619.80x = 1,461,470,429.70 × 974,313,619.80
  4. Step 4: Simplify right side
    974,313,619.80x = 1,423,930,544,591,668,480
  5. Step 5: Solve for x
    x = 1,423,930,544,591,668,480/974,313,619.80
  6. Step 6: Final answer
    x = 1,461,470,429.70

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1.5x scale

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.