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Finding the Fourth Proportional to 2,053,644,934.40, 3,080,467,401.60 and 2,053,644,934.40

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Solution

The fourth proportional to 2,053,644,934.40, 3,080,467,401.60 and 2,053,644,934.40 is: 3,080,467,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053,644,934.40 : 3,080,467,401.60 = 2,053,644,934.40 : x
  2. Step 2: Convert to fraction form
    2,053,644,934.40/3,080,467,401.60 = 2,053,644,934.40/x
  3. Step 3: Cross multiply
    2,053,644,934.40x = 3,080,467,401.60 × 2,053,644,934.40
  4. Step 4: Simplify right side
    2,053,644,934.40x = 6,326,186,274,880,171,008
  5. Step 5: Solve for x
    x = 6,326,186,274,880,171,008/2,053,644,934.40
  6. Step 6: Final answer
    x = 3,080,467,401.60

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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.