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Finding the Fourth Proportional to 148,626,488,511.80, 222,939,732,767.70 and 148,626,488,511.80

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Solution

The fourth proportional to 148,626,488,511.80, 222,939,732,767.70 and 148,626,488,511.80 is: 222,939,732,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,626,488,511.80 : 222,939,732,767.70 = 148,626,488,511.80 : x
  2. Step 2: Convert to fraction form
    148,626,488,511.80/222,939,732,767.70 = 148,626,488,511.80/x
  3. Step 3: Cross multiply
    148,626,488,511.80x = 222,939,732,767.70 × 148,626,488,511.80
  4. Step 4: Simplify right side
    148,626,488,511.80x = 33,134,749,631,022,324,776,960
  5. Step 5: Solve for x
    x = 33,134,749,631,022,324,776,960/148,626,488,511.80
  6. Step 6: Final answer
    x = 222,939,732,767.70

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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.