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Finding the Fourth Proportional to 523,077,830.40, 784,616,745.60 and 441,448,492.80

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Solution

The fourth proportional to 523,077,830.40, 784,616,745.60 and 441,448,492.80 is: 662,172,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,077,830.40 : 784,616,745.60 = 441,448,492.80 : x
  2. Step 2: Convert to fraction form
    523,077,830.40/784,616,745.60 = 441,448,492.80/x
  3. Step 3: Cross multiply
    523,077,830.40x = 784,616,745.60 × 441,448,492.80
  4. Step 4: Simplify right side
    523,077,830.40x = 346,367,879,770,761,024
  5. Step 5: Solve for x
    x = 346,367,879,770,761,024/523,077,830.40
  6. Step 6: Final answer
    x = 662,172,739.20

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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.