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Finding the Fourth Proportional to 490,678,868.80, 735,393,112.80 and 260,758,100.80

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Solution

The fourth proportional to 490,678,868.80, 735,393,112.80 and 260,758,100.80 is: 390,804,910.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,678,868.80 : 735,393,112.80 = 260,758,100.80 : x
  2. Step 2: Convert to fraction form
    490,678,868.80/735,393,112.80 = 260,758,100.80/x
  3. Step 3: Cross multiply
    490,678,868.80x = 735,393,112.80 × 260,758,100.80
  4. Step 4: Simplify right side
    490,678,868.80x = 191,759,711,435,128,160
  5. Step 5: Solve for x
    x = 191,759,711,435,128,160/490,678,868.80
  6. Step 6: Final answer
    x = 390,804,910.56

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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.