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Finding the Fourth Proportional to 419,907,586.40, 629,637,430.80 and 177,296,386.40

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Solution

The fourth proportional to 419,907,586.40, 629,637,430.80 and 177,296,386.40 is: 265,850,022.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,907,586.40 : 629,637,430.80 = 177,296,386.40 : x
  2. Step 2: Convert to fraction form
    419,907,586.40/629,637,430.80 = 177,296,386.40/x
  3. Step 3: Cross multiply
    419,907,586.40x = 629,637,430.80 × 177,296,386.40
  4. Step 4: Simplify right side
    419,907,586.40x = 111,632,441,223,020,064
  5. Step 5: Solve for x
    x = 111,632,441,223,020,064/419,907,586.40
  6. Step 6: Final answer
    x = 265,850,022.33

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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.