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Finding the Fourth Proportional to 470,505,797.70, 705,758,696.55 and 163,695,941.70

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Solution

The fourth proportional to 470,505,797.70, 705,758,696.55 and 163,695,941.70 is: 245,543,912.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,505,797.70 : 705,758,696.55 = 163,695,941.70 : x
  2. Step 2: Convert to fraction form
    470,505,797.70/705,758,696.55 = 163,695,941.70/x
  3. Step 3: Cross multiply
    470,505,797.70x = 705,758,696.55 × 163,695,941.70
  4. Step 4: Simplify right side
    470,505,797.70x = 115,529,834,444,716,768
  5. Step 5: Solve for x
    x = 115,529,834,444,716,768/470,505,797.70
  6. Step 6: Final answer
    x = 245,543,912.55

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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.