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Finding the Fourth Proportional to 298,957,200.98, 448,435,801.46 and 298,957,200.98

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Solution

The fourth proportional to 298,957,200.98, 448,435,801.46 and 298,957,200.98 is: 448,435,801.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,957,200.98 : 448,435,801.46 = 298,957,200.98 : x
  2. Step 2: Convert to fraction form
    298,957,200.98/448,435,801.46 = 298,957,200.98/x
  3. Step 3: Cross multiply
    298,957,200.98x = 448,435,801.46 × 298,957,200.98
  4. Step 4: Simplify right side
    298,957,200.98x = 134,063,112,022,209,808
  5. Step 5: Solve for x
    x = 134,063,112,022,209,808/298,957,200.98
  6. Step 6: Final answer
    x = 448,435,801.46

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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.