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Finding the Fourth Proportional to 313,595,364.80, 470,393,047.20 and 177,546,468.80

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Solution

The fourth proportional to 313,595,364.80, 470,393,047.20 and 177,546,468.80 is: 266,319,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,595,364.80 : 470,393,047.20 = 177,546,468.80 : x
  2. Step 2: Convert to fraction form
    313,595,364.80/470,393,047.20 = 177,546,468.80/x
  3. Step 3: Cross multiply
    313,595,364.80x = 470,393,047.20 × 177,546,468.80
  4. Step 4: Simplify right side
    313,595,364.80x = 83,516,624,478,431,728
  5. Step 5: Solve for x
    x = 83,516,624,478,431,728/313,595,364.80
  6. Step 6: Final answer
    x = 266,319,703.20

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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.