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Finding the Fourth Proportional to 3,564,772,698.78, 5,344,978,788.54 and 1,699,988,745.06

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Solution

The fourth proportional to 3,564,772,698.78, 5,344,978,788.54 and 1,699,988,745.06 is: 2,548,943,383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564,772,698.78 : 5,344,978,788.54 = 1,699,988,745.06 : x
  2. Step 2: Convert to fraction form
    3,564,772,698.78/5,344,978,788.54 = 1,699,988,745.06/x
  3. Step 3: Cross multiply
    3,564,772,698.78x = 5,344,978,788.54 × 1,699,988,745.06
  4. Step 4: Simplify right side
    3,564,772,698.78x = 9,086,403,783,102,433,280
  5. Step 5: Solve for x
    x = 9,086,403,783,102,433,280/3,564,772,698.78
  6. Step 6: Final answer
    x = 2,548,943,383.18

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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.