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Finding the Fourth Proportional to 398,640,533.80, 596,827,059.90 and 398,640,533.80

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Solution

The fourth proportional to 398,640,533.80, 596,827,059.90 and 398,640,533.80 is: 596,827,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,640,533.80 : 596,827,059.90 = 398,640,533.80 : x
  2. Step 2: Convert to fraction form
    398,640,533.80/596,827,059.90 = 398,640,533.80/x
  3. Step 3: Cross multiply
    398,640,533.80x = 596,827,059.90 × 398,640,533.80
  4. Step 4: Simplify right side
    398,640,533.80x = 237,919,457,744,820,576
  5. Step 5: Solve for x
    x = 237,919,457,744,820,576/398,640,533.80
  6. Step 6: Final answer
    x = 596,827,059.90

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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.