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Finding the Fourth Proportional to 16,028,930,019.60, 22,394,637,313.20 and 16,028,930,019.60

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Solution

The fourth proportional to 16,028,930,019.60, 22,394,637,313.20 and 16,028,930,019.60 is: 22,394,637,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,028,930,019.60 : 22,394,637,313.20 = 16,028,930,019.60 : x
  2. Step 2: Convert to fraction form
    16,028,930,019.60/22,394,637,313.20 = 16,028,930,019.60/x
  3. Step 3: Cross multiply
    16,028,930,019.60x = 22,394,637,313.20 × 16,028,930,019.60
  4. Step 4: Simplify right side
    16,028,930,019.60x = 358,962,074,307,605,757,952
  5. Step 5: Solve for x
    x = 358,962,074,307,605,757,952/16,028,930,019.60
  6. Step 6: Final answer
    x = 22,394,637,313.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.