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Finding the Fourth Proportional to 27,026,946,029.40, 40,540,419,044.10 and 27,026,946,029.40

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Solution

The fourth proportional to 27,026,946,029.40, 40,540,419,044.10 and 27,026,946,029.40 is: 40,540,419,044.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,026,946,029.40 : 40,540,419,044.10 = 27,026,946,029.40 : x
  2. Step 2: Convert to fraction form
    27,026,946,029.40/40,540,419,044.10 = 27,026,946,029.40/x
  3. Step 3: Cross multiply
    27,026,946,029.40x = 40,540,419,044.10 × 27,026,946,029.40
  4. Step 4: Simplify right side
    27,026,946,029.40x = 1,095,683,717,514,150,674,432
  5. Step 5: Solve for x
    x = 1,095,683,717,514,150,674,432/27,026,946,029.40
  6. Step 6: Final answer
    x = 40,540,419,044.10

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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.