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Finding the Fourth Proportional to 1,383,248,024.20, 2,074,872,036.30 and 1,383,248,024.20

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Solution

The fourth proportional to 1,383,248,024.20, 2,074,872,036.30 and 1,383,248,024.20 is: 2,074,872,036.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,248,024.20 : 2,074,872,036.30 = 1,383,248,024.20 : x
  2. Step 2: Convert to fraction form
    1,383,248,024.20/2,074,872,036.30 = 1,383,248,024.20/x
  3. Step 3: Cross multiply
    1,383,248,024.20x = 2,074,872,036.30 × 1,383,248,024.20
  4. Step 4: Simplify right side
    1,383,248,024.20x = 2,870,062,644,679,805,952
  5. Step 5: Solve for x
    x = 2,870,062,644,679,805,952/1,383,248,024.20
  6. Step 6: Final answer
    x = 2,074,872,036.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.