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Finding the Fourth Proportional to 402,408,014.70, 603,612,022.05 and 208,697,770.20

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Solution

The fourth proportional to 402,408,014.70, 603,612,022.05 and 208,697,770.20 is: 313,046,655.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,408,014.70 : 603,612,022.05 = 208,697,770.20 : x
  2. Step 2: Convert to fraction form
    402,408,014.70/603,612,022.05 = 208,697,770.20/x
  3. Step 3: Cross multiply
    402,408,014.70x = 603,612,022.05 × 208,697,770.20
  4. Step 4: Simplify right side
    402,408,014.70x = 125,972,483,067,748,208
  5. Step 5: Solve for x
    x = 125,972,483,067,748,208/402,408,014.70
  6. Step 6: Final answer
    x = 313,046,655.30

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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.