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Finding the Fourth Proportional to 298,947,002.80, 448,420,504.20 and 273,118,970.20

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Solution

The fourth proportional to 298,947,002.80, 448,420,504.20 and 273,118,970.20 is: 409,678,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,947,002.80 : 448,420,504.20 = 273,118,970.20 : x
  2. Step 2: Convert to fraction form
    298,947,002.80/448,420,504.20 = 273,118,970.20/x
  3. Step 3: Cross multiply
    298,947,002.80x = 448,420,504.20 × 273,118,970.20
  4. Step 4: Simplify right side
    298,947,002.80x = 122,472,146,323,668,768
  5. Step 5: Solve for x
    x = 122,472,146,323,668,768/298,947,002.80
  6. Step 6: Final answer
    x = 409,678,455.30

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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.