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Finding the Fourth Proportional to 299,697,602.40, 449,546,403.60 and 192,202,178.40

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Solution

The fourth proportional to 299,697,602.40, 449,546,403.60 and 192,202,178.40 is: 288,303,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,697,602.40 : 449,546,403.60 = 192,202,178.40 : x
  2. Step 2: Convert to fraction form
    299,697,602.40/449,546,403.60 = 192,202,178.40/x
  3. Step 3: Cross multiply
    299,697,602.40x = 449,546,403.60 × 192,202,178.40
  4. Step 4: Simplify right side
    299,697,602.40x = 86,403,798,063,805,616
  5. Step 5: Solve for x
    x = 86,403,798,063,805,616/299,697,602.40
  6. Step 6: Final answer
    x = 288,303,267.60

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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.