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Finding the Fourth Proportional to 5,229,173,867.90, 7,843,760,801.85 and 5,229,173,867.90

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Solution

The fourth proportional to 5,229,173,867.90, 7,843,760,801.85 and 5,229,173,867.90 is: 7,843,760,801.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229,173,867.90 : 7,843,760,801.85 = 5,229,173,867.90 : x
  2. Step 2: Convert to fraction form
    5,229,173,867.90/7,843,760,801.85 = 5,229,173,867.90/x
  3. Step 3: Cross multiply
    5,229,173,867.90x = 7,843,760,801.85 × 5,229,173,867.90
  4. Step 4: Simplify right side
    5,229,173,867.90x = 41,016,389,011,092,365,312
  5. Step 5: Solve for x
    x = 41,016,389,011,092,365,312/5,229,173,867.90
  6. Step 6: Final answer
    x = 7,843,760,801.85

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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.