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Finding the Fourth Proportional to 548,256,736.40, 822,385,104.60 and 548,256,736.40

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Solution

The fourth proportional to 548,256,736.40, 822,385,104.60 and 548,256,736.40 is: 822,385,104.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,256,736.40 : 822,385,104.60 = 548,256,736.40 : x
  2. Step 2: Convert to fraction form
    548,256,736.40/822,385,104.60 = 548,256,736.40/x
  3. Step 3: Cross multiply
    548,256,736.40x = 822,385,104.60 × 548,256,736.40
  4. Step 4: Simplify right side
    548,256,736.40x = 450,878,173,511,968,640
  5. Step 5: Solve for x
    x = 450,878,173,511,968,640/548,256,736.40
  6. Step 6: Final answer
    x = 822,385,104.60

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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.