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Finding the Fourth Proportional to 22,674,848,019.60, 31,671,320,823.60 and 22,674,848,019.60

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Solution

The fourth proportional to 22,674,848,019.60, 31,671,320,823.60 and 22,674,848,019.60 is: 31,671,320,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,674,848,019.60 : 31,671,320,823.60 = 22,674,848,019.60 : x
  2. Step 2: Convert to fraction form
    22,674,848,019.60/31,671,320,823.60 = 22,674,848,019.60/x
  3. Step 3: Cross multiply
    22,674,848,019.60x = 31,671,320,823.60 × 22,674,848,019.60
  4. Step 4: Simplify right side
    22,674,848,019.60x = 718,142,386,255,122,661,376
  5. Step 5: Solve for x
    x = 718,142,386,255,122,661,376/22,674,848,019.60
  6. Step 6: Final answer
    x = 31,671,320,823.60

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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.