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Finding the Fourth Proportional to 652,536,016.90, 978,804,025.35 and 394,546,999.30

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Solution

The fourth proportional to 652,536,016.90, 978,804,025.35 and 394,546,999.30 is: 591,820,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,536,016.90 : 978,804,025.35 = 394,546,999.30 : x
  2. Step 2: Convert to fraction form
    652,536,016.90/978,804,025.35 = 394,546,999.30/x
  3. Step 3: Cross multiply
    652,536,016.90x = 978,804,025.35 × 394,546,999.30
  4. Step 4: Simplify right side
    652,536,016.90x = 386,184,191,104,603,648
  5. Step 5: Solve for x
    x = 386,184,191,104,603,648/652,536,016.90
  6. Step 6: Final answer
    x = 591,820,498.95

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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.