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Finding the Fourth Proportional to 211,710,348,049.70, 317,565,522,074.54 and 211,710,348,049.70

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Solution

The fourth proportional to 211,710,348,049.70, 317,565,522,074.54 and 211,710,348,049.70 is: 317,565,522,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,710,348,049.70 : 317,565,522,074.54 = 211,710,348,049.70 : x
  2. Step 2: Convert to fraction form
    211,710,348,049.70/317,565,522,074.54 = 211,710,348,049.70/x
  3. Step 3: Cross multiply
    211,710,348,049.70x = 317,565,522,074.54 × 211,710,348,049.70
  4. Step 4: Simplify right side
    211,710,348,049.70x = 67,231,907,206,985,548,824,576
  5. Step 5: Solve for x
    x = 67,231,907,206,985,548,824,576/211,710,348,049.70
  6. Step 6: Final answer
    x = 317,565,522,074.54

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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.