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Finding the Fourth Proportional to 256,255,488,000.45, 384,383,232,000.69 and 256,255,488,000.45

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Solution

The fourth proportional to 256,255,488,000.45, 384,383,232,000.69 and 256,255,488,000.45 is: 384,383,232,000.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,255,488,000.45 : 384,383,232,000.69 = 256,255,488,000.45 : x
  2. Step 2: Convert to fraction form
    256,255,488,000.45/384,383,232,000.69 = 256,255,488,000.45/x
  3. Step 3: Cross multiply
    256,255,488,000.45x = 384,383,232,000.69 × 256,255,488,000.45
  4. Step 4: Simplify right side
    256,255,488,000.45x = 98,500,312,695,527,012,564,992
  5. Step 5: Solve for x
    x = 98,500,312,695,527,012,564,992/256,255,488,000.45
  6. Step 6: Final answer
    x = 384,383,232,000.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.