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Finding the Fourth Proportional to 12,083,646,723.40, 18,125,470,085.10 and 12,083,646,723.40

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Solution

The fourth proportional to 12,083,646,723.40, 18,125,470,085.10 and 12,083,646,723.40 is: 18,125,470,085.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083,646,723.40 : 18,125,470,085.10 = 12,083,646,723.40 : x
  2. Step 2: Convert to fraction form
    12,083,646,723.40/18,125,470,085.10 = 12,083,646,723.40/x
  3. Step 3: Cross multiply
    12,083,646,723.40x = 18,125,470,085.10 × 12,083,646,723.40
  4. Step 4: Simplify right side
    12,083,646,723.40x = 219,021,777,203,903,299,584
  5. Step 5: Solve for x
    x = 219,021,777,203,903,299,584/12,083,646,723.40
  6. Step 6: Final answer
    x = 18,125,470,085.10

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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.