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Finding the Fourth Proportional to 1,424,952,283.40, 2,134,027,202.70 and 1,424,952,283.40

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Solution

The fourth proportional to 1,424,952,283.40, 2,134,027,202.70 and 1,424,952,283.40 is: 2,134,027,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,952,283.40 : 2,134,027,202.70 = 1,424,952,283.40 : x
  2. Step 2: Convert to fraction form
    1,424,952,283.40/2,134,027,202.70 = 1,424,952,283.40/x
  3. Step 3: Cross multiply
    1,424,952,283.40x = 2,134,027,202.70 × 1,424,952,283.40
  4. Step 4: Simplify right side
    1,424,952,283.40x = 3,040,886,935,325,080,064
  5. Step 5: Solve for x
    x = 3,040,886,935,325,080,064/1,424,952,283.40
  6. Step 6: Final answer
    x = 2,134,027,202.70

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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.