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Finding the Fourth Proportional to 148,965,370,777.90, 223,448,056,166.85 and 148,965,370,777.90

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Solution

The fourth proportional to 148,965,370,777.90, 223,448,056,166.85 and 148,965,370,777.90 is: 223,448,056,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,965,370,777.90 : 223,448,056,166.85 = 148,965,370,777.90 : x
  2. Step 2: Convert to fraction form
    148,965,370,777.90/223,448,056,166.85 = 148,965,370,777.90/x
  3. Step 3: Cross multiply
    148,965,370,777.90x = 223,448,056,166.85 × 148,965,370,777.90
  4. Step 4: Simplify right side
    148,965,370,777.90x = 33,286,022,536,495,833,808,896
  5. Step 5: Solve for x
    x = 33,286,022,536,495,833,808,896/148,965,370,777.90
  6. Step 6: Final answer
    x = 223,448,056,166.85

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1.5x scale

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.