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Finding the Fourth Proportional to 809,714,205.80, 1,214,571,308.70 and 809,714,205.80

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Solution

The fourth proportional to 809,714,205.80, 1,214,571,308.70 and 809,714,205.80 is: 1,214,571,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,714,205.80 : 1,214,571,308.70 = 809,714,205.80 : x
  2. Step 2: Convert to fraction form
    809,714,205.80/1,214,571,308.70 = 809,714,205.80/x
  3. Step 3: Cross multiply
    809,714,205.80x = 1,214,571,308.70 × 809,714,205.80
  4. Step 4: Simplify right side
    809,714,205.80x = 983,455,642,611,487,104
  5. Step 5: Solve for x
    x = 983,455,642,611,487,104/809,714,205.80
  6. Step 6: Final answer
    x = 1,214,571,308.70

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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.