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Finding the Fourth Proportional to 122,836,698,837.15, 184,255,048,255.72 and 122,836,698,837.15

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Solution

The fourth proportional to 122,836,698,837.15, 184,255,048,255.72 and 122,836,698,837.15 is: 184,255,048,255.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,836,698,837.15 : 184,255,048,255.72 = 122,836,698,837.15 : x
  2. Step 2: Convert to fraction form
    122,836,698,837.15/184,255,048,255.72 = 122,836,698,837.15/x
  3. Step 3: Cross multiply
    122,836,698,837.15x = 184,255,048,255.72 × 122,836,698,837.15
  4. Step 4: Simplify right side
    122,836,698,837.15x = 22,633,281,871,812,415,717,376
  5. Step 5: Solve for x
    x = 22,633,281,871,812,415,717,376/122,836,698,837.15
  6. Step 6: Final answer
    x = 184,255,048,255.72

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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.