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Finding the Fourth Proportional to 1,202,576,648.70, 1,685,903,133.30 and 1,202,576,648.70

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Solution

The fourth proportional to 1,202,576,648.70, 1,685,903,133.30 and 1,202,576,648.70 is: 1,685,903,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,576,648.70 : 1,685,903,133.30 = 1,202,576,648.70 : x
  2. Step 2: Convert to fraction form
    1,202,576,648.70/1,685,903,133.30 = 1,202,576,648.70/x
  3. Step 3: Cross multiply
    1,202,576,648.70x = 1,685,903,133.30 × 1,202,576,648.70
  4. Step 4: Simplify right side
    1,202,576,648.70x = 2,027,427,740,076,743,424
  5. Step 5: Solve for x
    x = 2,027,427,740,076,743,424/1,202,576,648.70
  6. Step 6: Final answer
    x = 1,685,903,133.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.