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Finding the Fourth Proportional to 294,501,704,206.80, 441,752,556,310.20 and 294,501,704,206.80

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Solution

The fourth proportional to 294,501,704,206.80, 441,752,556,310.20 and 294,501,704,206.80 is: 441,752,556,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,501,704,206.80 : 441,752,556,310.20 = 294,501,704,206.80 : x
  2. Step 2: Convert to fraction form
    294,501,704,206.80/441,752,556,310.20 = 294,501,704,206.80/x
  3. Step 3: Cross multiply
    294,501,704,206.80x = 441,752,556,310.20 × 294,501,704,206.80
  4. Step 4: Simplify right side
    294,501,704,206.80x = 130,096,880,671,064,277,909,504
  5. Step 5: Solve for x
    x = 130,096,880,671,064,277,909,504/294,501,704,206.80
  6. Step 6: Final answer
    x = 441,752,556,310.20

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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.