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Finding the Fourth Proportional to 284,171,206.40, 426,256,809.60 and 284,171,206.40

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Solution

The fourth proportional to 284,171,206.40, 426,256,809.60 and 284,171,206.40 is: 426,256,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,171,206.40 : 426,256,809.60 = 284,171,206.40 : x
  2. Step 2: Convert to fraction form
    284,171,206.40/426,256,809.60 = 284,171,206.40/x
  3. Step 3: Cross multiply
    284,171,206.40x = 426,256,809.60 × 284,171,206.40
  4. Step 4: Simplify right side
    284,171,206.40x = 121,129,911,820,247,104
  5. Step 5: Solve for x
    x = 121,129,911,820,247,104/284,171,206.40
  6. Step 6: Final answer
    x = 426,256,809.60

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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.