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Finding the Fourth Proportional to 214,347,492,078.55, 321,521,238,117.82 and 214,347,492,078.55

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Solution

The fourth proportional to 214,347,492,078.55, 321,521,238,117.82 and 214,347,492,078.55 is: 321,521,238,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,347,492,078.55 : 321,521,238,117.82 = 214,347,492,078.55 : x
  2. Step 2: Convert to fraction form
    214,347,492,078.55/321,521,238,117.82 = 214,347,492,078.55/x
  3. Step 3: Cross multiply
    214,347,492,078.55x = 321,521,238,117.82 × 214,347,492,078.55
  4. Step 4: Simplify right side
    214,347,492,078.55x = 68,917,271,040,545,005,764,608
  5. Step 5: Solve for x
    x = 68,917,271,040,545,005,764,608/214,347,492,078.55
  6. Step 6: Final answer
    x = 321,521,238,117.82

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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.