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Finding the Fourth Proportional to 898,323,230.40, 1,347,484,845.60 and 766,809,297.60

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Solution

The fourth proportional to 898,323,230.40, 1,347,484,845.60 and 766,809,297.60 is: 1,150,213,946.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,323,230.40 : 1,347,484,845.60 = 766,809,297.60 : x
  2. Step 2: Convert to fraction form
    898,323,230.40/1,347,484,845.60 = 766,809,297.60/x
  3. Step 3: Cross multiply
    898,323,230.40x = 1,347,484,845.60 × 766,809,297.60
  4. Step 4: Simplify right side
    898,323,230.40x = 1,033,263,907,981,180,416
  5. Step 5: Solve for x
    x = 1,033,263,907,981,180,416/898,323,230.40
  6. Step 6: Final answer
    x = 1,150,213,946.40

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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.