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Finding the Fourth Proportional to 21,641,465,206.45, 32,462,197,809.68 and 21,641,465,206.45

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Solution

The fourth proportional to 21,641,465,206.45, 32,462,197,809.68 and 21,641,465,206.45 is: 32,462,197,809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,641,465,206.45 : 32,462,197,809.68 = 21,641,465,206.45 : x
  2. Step 2: Convert to fraction form
    21,641,465,206.45/32,462,197,809.68 = 21,641,465,206.45/x
  3. Step 3: Cross multiply
    21,641,465,206.45x = 32,462,197,809.68 × 21,641,465,206.45
  4. Step 4: Simplify right side
    21,641,465,206.45x = 702,529,524,422,978,961,408
  5. Step 5: Solve for x
    x = 702,529,524,422,978,961,408/21,641,465,206.45
  6. Step 6: Final answer
    x = 32,462,197,809.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.