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Finding the Fourth Proportional to 298,999,764.90, 448,499,647.35 and 298,999,764.90

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Solution

The fourth proportional to 298,999,764.90, 448,499,647.35 and 298,999,764.90 is: 448,499,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,999,764.90 : 448,499,647.35 = 298,999,764.90 : x
  2. Step 2: Convert to fraction form
    298,999,764.90/448,499,647.35 = 298,999,764.90/x
  3. Step 3: Cross multiply
    298,999,764.90x = 448,499,647.35 × 298,999,764.90
  4. Step 4: Simplify right side
    298,999,764.90x = 134,101,289,115,382,912
  5. Step 5: Solve for x
    x = 134,101,289,115,382,912/298,999,764.90
  6. Step 6: Final answer
    x = 448,499,647.35

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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.