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Finding the Fourth Proportional to 1,420,092,023.10, 2,130,138,034.79 and 1,420,092,023.10

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Solution

The fourth proportional to 1,420,092,023.10, 2,130,138,034.79 and 1,420,092,023.10 is: 2,130,138,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,092,023.10 : 2,130,138,034.79 = 1,420,092,023.10 : x
  2. Step 2: Convert to fraction form
    1,420,092,023.10/2,130,138,034.79 = 1,420,092,023.10/x
  3. Step 3: Cross multiply
    1,420,092,023.10x = 2,130,138,034.79 × 1,420,092,023.10
  4. Step 4: Simplify right side
    1,420,092,023.10x = 3,024,992,031,300,088,832
  5. Step 5: Solve for x
    x = 3,024,992,031,300,088,832/1,420,092,023.10
  6. Step 6: Final answer
    x = 2,130,138,034.79

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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.