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Finding the Fourth Proportional to 21,257,609,546.90, 31,886,414,320.35 and 21,257,609,546.90

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Solution

The fourth proportional to 21,257,609,546.90, 31,886,414,320.35 and 21,257,609,546.90 is: 31,886,414,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257,609,546.90 : 31,886,414,320.35 = 21,257,609,546.90 : x
  2. Step 2: Convert to fraction form
    21,257,609,546.90/31,886,414,320.35 = 21,257,609,546.90/x
  3. Step 3: Cross multiply
    21,257,609,546.90x = 31,886,414,320.35 × 21,257,609,546.90
  4. Step 4: Simplify right side
    21,257,609,546.90x = 677,828,945,472,681,017,344
  5. Step 5: Solve for x
    x = 677,828,945,472,681,017,344/21,257,609,546.90
  6. Step 6: Final answer
    x = 31,886,414,320.35

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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.