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Finding the Fourth Proportional to 974,313,597.80, 1,461,470,396.70 and 664,377,206.60

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Solution

The fourth proportional to 974,313,597.80, 1,461,470,396.70 and 664,377,206.60 is: 996,565,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,313,597.80 : 1,461,470,396.70 = 664,377,206.60 : x
  2. Step 2: Convert to fraction form
    974,313,597.80/1,461,470,396.70 = 664,377,206.60/x
  3. Step 3: Cross multiply
    974,313,597.80x = 1,461,470,396.70 × 664,377,206.60
  4. Step 4: Simplify right side
    974,313,597.80x = 970,967,619,688,139,904
  5. Step 5: Solve for x
    x = 970,967,619,688,139,904/974,313,597.80
  6. Step 6: Final answer
    x = 996,565,809.90

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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.