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Finding the Fourth Proportional to 21,257,609,911.40, 31,886,414,867.10 and 21,257,609,911.40

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Solution

The fourth proportional to 21,257,609,911.40, 31,886,414,867.10 and 21,257,609,911.40 is: 31,886,414,867.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257,609,911.40 : 31,886,414,867.10 = 21,257,609,911.40 : x
  2. Step 2: Convert to fraction form
    21,257,609,911.40/31,886,414,867.10 = 21,257,609,911.40/x
  3. Step 3: Cross multiply
    21,257,609,911.40x = 31,886,414,867.10 × 21,257,609,911.40
  4. Step 4: Simplify right side
    21,257,609,911.40x = 677,828,968,717,877,248,000
  5. Step 5: Solve for x
    x = 677,828,968,717,877,248,000/21,257,609,911.40
  6. Step 6: Final answer
    x = 31,886,414,867.10

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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.