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Finding the Fourth Proportional to 21,257,609,951.90, 31,886,414,927.85 and 21,257,609,951.90

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Solution

The fourth proportional to 21,257,609,951.90, 31,886,414,927.85 and 21,257,609,951.90 is: 31,886,414,927.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257,609,951.90 : 31,886,414,927.85 = 21,257,609,951.90 : x
  2. Step 2: Convert to fraction form
    21,257,609,951.90/31,886,414,927.85 = 21,257,609,951.90/x
  3. Step 3: Cross multiply
    21,257,609,951.90x = 31,886,414,927.85 × 21,257,609,951.90
  4. Step 4: Simplify right side
    21,257,609,951.90x = 677,828,971,300,676,960,256
  5. Step 5: Solve for x
    x = 677,828,971,300,676,960,256/21,257,609,951.90
  6. Step 6: Final answer
    x = 31,886,414,927.85

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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.