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Finding the Fourth Proportional to 298,191,393.50, 411,499,210.11 and 174,453,033.02

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Solution

The fourth proportional to 298,191,393.50, 411,499,210.11 and 174,453,033.02 is: 240,742,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,191,393.50 : 411,499,210.11 = 174,453,033.02 : x
  2. Step 2: Convert to fraction form
    298,191,393.50/411,499,210.11 = 174,453,033.02/x
  3. Step 3: Cross multiply
    298,191,393.50x = 411,499,210.11 × 174,453,033.02
  4. Step 4: Simplify right side
    298,191,393.50x = 71,787,285,289,023,752
  5. Step 5: Solve for x
    x = 71,787,285,289,023,752/298,191,393.50
  6. Step 6: Final answer
    x = 240,742,311.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.