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Finding the Fourth Proportional to 331,444,224,378.40, 497,166,336,567.60 and 331,444,224,378.40

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Solution

The fourth proportional to 331,444,224,378.40, 497,166,336,567.60 and 331,444,224,378.40 is: 497,166,336,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,444,224,378.40 : 497,166,336,567.60 = 331,444,224,378.40 : x
  2. Step 2: Convert to fraction form
    331,444,224,378.40/497,166,336,567.60 = 331,444,224,378.40/x
  3. Step 3: Cross multiply
    331,444,224,378.40x = 497,166,336,567.60 × 331,444,224,378.40
  4. Step 4: Simplify right side
    331,444,224,378.40x = 164,782,910,810,698,740,137,984
  5. Step 5: Solve for x
    x = 164,782,910,810,698,740,137,984/331,444,224,378.40
  6. Step 6: Final answer
    x = 497,166,336,567.60

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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.