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Finding the Fourth Proportional to 442,854,659.55, 664,281,989.33 and 442,854,659.55

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Solution

The fourth proportional to 442,854,659.55, 664,281,989.33 and 442,854,659.55 is: 664,281,989.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,854,659.55 : 664,281,989.33 = 442,854,659.55 : x
  2. Step 2: Convert to fraction form
    442,854,659.55/664,281,989.33 = 442,854,659.55/x
  3. Step 3: Cross multiply
    442,854,659.55x = 664,281,989.33 × 442,854,659.55
  4. Step 4: Simplify right side
    442,854,659.55x = 294,180,374,227,719,616
  5. Step 5: Solve for x
    x = 294,180,374,227,719,616/442,854,659.55
  6. Step 6: Final answer
    x = 664,281,989.33

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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.