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Finding the Fourth Proportional to 10,830,753,754.60, 16,220,302,599.30 and 10,830,753,754.60

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Solution

The fourth proportional to 10,830,753,754.60, 16,220,302,599.30 and 10,830,753,754.60 is: 16,220,302,599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830,753,754.60 : 16,220,302,599.30 = 10,830,753,754.60 : x
  2. Step 2: Convert to fraction form
    10,830,753,754.60/16,220,302,599.30 = 10,830,753,754.60/x
  3. Step 3: Cross multiply
    10,830,753,754.60x = 16,220,302,599.30 × 10,830,753,754.60
  4. Step 4: Simplify right side
    10,830,753,754.60x = 175,678,103,278,116,601,856
  5. Step 5: Solve for x
    x = 175,678,103,278,116,601,856/10,830,753,754.60
  6. Step 6: Final answer
    x = 16,220,302,599.30

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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.