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Finding the Fourth Proportional to 298,947,201.60, 448,420,802.40 and 298,947,201.60

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Solution

The fourth proportional to 298,947,201.60, 448,420,802.40 and 298,947,201.60 is: 448,420,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,947,201.60 : 448,420,802.40 = 298,947,201.60 : x
  2. Step 2: Convert to fraction form
    298,947,201.60/448,420,802.40 = 298,947,201.60/x
  3. Step 3: Cross multiply
    298,947,201.60x = 448,420,802.40 × 298,947,201.60
  4. Step 4: Simplify right side
    298,947,201.60x = 134,054,144,016,706,560
  5. Step 5: Solve for x
    x = 134,054,144,016,706,560/298,947,201.60
  6. Step 6: Final answer
    x = 448,420,802.40

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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.