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Finding the Fourth Proportional to 30,800,534.40, 46,200,801.60 and 29,383,358.40

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Solution

The fourth proportional to 30,800,534.40, 46,200,801.60 and 29,383,358.40 is: 44,075,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,800,534.40 : 46,200,801.60 = 29,383,358.40 : x
  2. Step 2: Convert to fraction form
    30,800,534.40/46,200,801.60 = 29,383,358.40/x
  3. Step 3: Cross multiply
    30,800,534.40x = 46,200,801.60 × 29,383,358.40
  4. Step 4: Simplify right side
    30,800,534.40x = 1,357,534,711,780,093.50
  5. Step 5: Solve for x
    x = 1,357,534,711,780,093.50/30,800,534.40
  6. Step 6: Final answer
    x = 44,075,037.60

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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.