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Finding the Fourth Proportional to 21,730,328,049.83, 32,595,492,074.74 and 21,730,328,049.83

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Solution

The fourth proportional to 21,730,328,049.83, 32,595,492,074.74 and 21,730,328,049.83 is: 32,595,492,074.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,730,328,049.83 : 32,595,492,074.74 = 21,730,328,049.83 : x
  2. Step 2: Convert to fraction form
    21,730,328,049.83/32,595,492,074.74 = 21,730,328,049.83/x
  3. Step 3: Cross multiply
    21,730,328,049.83x = 32,595,492,074.74 × 21,730,328,049.83
  4. Step 4: Simplify right side
    21,730,328,049.83x = 708,310,735,729,527,619,584
  5. Step 5: Solve for x
    x = 708,310,735,729,527,619,584/21,730,328,049.83
  6. Step 6: Final answer
    x = 32,595,492,074.74

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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.