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Finding the Fourth Proportional to 21,730,104,400.65, 32,595,156,600.98 and 21,730,104,400.65

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Solution

The fourth proportional to 21,730,104,400.65, 32,595,156,600.98 and 21,730,104,400.65 is: 32,595,156,600.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,730,104,400.65 : 32,595,156,600.98 = 21,730,104,400.65 : x
  2. Step 2: Convert to fraction form
    21,730,104,400.65/32,595,156,600.98 = 21,730,104,400.65/x
  3. Step 3: Cross multiply
    21,730,104,400.65x = 32,595,156,600.98 × 21,730,104,400.65
  4. Step 4: Simplify right side
    21,730,104,400.65x = 708,296,155,894,722,723,840
  5. Step 5: Solve for x
    x = 708,296,155,894,722,723,840/21,730,104,400.65
  6. Step 6: Final answer
    x = 32,595,156,600.98

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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.