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Finding the Fourth Proportional to 402,408,006.70, 603,612,010.05 and 208,697,762.20

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Solution

The fourth proportional to 402,408,006.70, 603,612,010.05 and 208,697,762.20 is: 313,046,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,408,006.70 : 603,612,010.05 = 208,697,762.20 : x
  2. Step 2: Convert to fraction form
    402,408,006.70/603,612,010.05 = 208,697,762.20/x
  3. Step 3: Cross multiply
    402,408,006.70x = 603,612,010.05 × 208,697,762.20
  4. Step 4: Simplify right side
    402,408,006.70x = 125,972,475,734,478,896
  5. Step 5: Solve for x
    x = 125,972,475,734,478,896/402,408,006.70
  6. Step 6: Final answer
    x = 313,046,643.30

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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.