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Finding the Fourth Proportional to 565,360,597.60, 848,096,883.60 and 196,838,850.40

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Solution

The fourth proportional to 565,360,597.60, 848,096,883.60 and 196,838,850.40 is: 295,277,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,360,597.60 : 848,096,883.60 = 196,838,850.40 : x
  2. Step 2: Convert to fraction form
    565,360,597.60/848,096,883.60 = 196,838,850.40/x
  3. Step 3: Cross multiply
    565,360,597.60x = 848,096,883.60 × 196,838,850.40
  4. Step 4: Simplify right side
    565,360,597.60x = 166,938,415,595,646,624
  5. Step 5: Solve for x
    x = 166,938,415,595,646,624/565,360,597.60
  6. Step 6: Final answer
    x = 295,277,768.39

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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.