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Finding the Fourth Proportional to 256,255,488,015.46, 384,383,232,023.20 and 256,255,488,015.46

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Solution

The fourth proportional to 256,255,488,015.46, 384,383,232,023.20 and 256,255,488,015.46 is: 384,383,232,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,255,488,015.46 : 384,383,232,023.20 = 256,255,488,015.46 : x
  2. Step 2: Convert to fraction form
    256,255,488,015.46/384,383,232,023.20 = 256,255,488,015.46/x
  3. Step 3: Cross multiply
    256,255,488,015.46x = 384,383,232,023.20 × 256,255,488,015.46
  4. Step 4: Simplify right side
    256,255,488,015.46x = 98,500,312,707,064,905,334,784
  5. Step 5: Solve for x
    x = 98,500,312,707,064,905,334,784/256,255,488,015.46
  6. Step 6: Final answer
    x = 384,383,232,023.20

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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.