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Finding the Fourth Proportional to 329,729,337,729.60, 494,594,006,594.40 and 329,729,337,729.60

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Solution

The fourth proportional to 329,729,337,729.60, 494,594,006,594.40 and 329,729,337,729.60 is: 494,594,006,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,729,337,729.60 : 494,594,006,594.40 = 329,729,337,729.60 : x
  2. Step 2: Convert to fraction form
    329,729,337,729.60/494,594,006,594.40 = 329,729,337,729.60/x
  3. Step 3: Cross multiply
    329,729,337,729.60x = 494,594,006,594.40 × 329,729,337,729.60
  4. Step 4: Simplify right side
    329,729,337,729.60x = 163,082,154,239,400,918,122,496
  5. Step 5: Solve for x
    x = 163,082,154,239,400,918,122,496/329,729,337,729.60
  6. Step 6: Final answer
    x = 494,594,006,594.40

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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.