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Finding the Fourth Proportional to 974,313,664.60, 1,461,470,496.90 and 457,753,012.60

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Solution

The fourth proportional to 974,313,664.60, 1,461,470,496.90 and 457,753,012.60 is: 686,629,518.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,313,664.60 : 1,461,470,496.90 = 457,753,012.60 : x
  2. Step 2: Convert to fraction form
    974,313,664.60/1,461,470,496.90 = 457,753,012.60/x
  3. Step 3: Cross multiply
    974,313,664.60x = 1,461,470,496.90 × 457,753,012.60
  4. Step 4: Simplify right side
    974,313,664.60x = 668,992,522,781,993,984
  5. Step 5: Solve for x
    x = 668,992,522,781,993,984/974,313,664.60
  6. Step 6: Final answer
    x = 686,629,518.90

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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.