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Finding the Fourth Proportional to 148,965,370,770.90, 223,448,056,156.35 and 148,965,370,770.90

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Solution

The fourth proportional to 148,965,370,770.90, 223,448,056,156.35 and 148,965,370,770.90 is: 223,448,056,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,965,370,770.90 : 223,448,056,156.35 = 148,965,370,770.90 : x
  2. Step 2: Convert to fraction form
    148,965,370,770.90/223,448,056,156.35 = 148,965,370,770.90/x
  3. Step 3: Cross multiply
    148,965,370,770.90x = 223,448,056,156.35 × 148,965,370,770.90
  4. Step 4: Simplify right side
    148,965,370,770.90x = 33,286,022,533,367,562,502,144
  5. Step 5: Solve for x
    x = 33,286,022,533,367,562,502,144/148,965,370,770.90
  6. Step 6: Final answer
    x = 223,448,056,156.35

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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.