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Finding the Fourth Proportional to 919,368,873,005.70, 1,379,053,309,508.50 and 919,368,873,005.70

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Solution

The fourth proportional to 919,368,873,005.70, 1,379,053,309,508.50 and 919,368,873,005.70 is: 1,379,053,309,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,368,873,005.70 : 1,379,053,309,508.50 = 919,368,873,005.70 : x
  2. Step 2: Convert to fraction form
    919,368,873,005.70/1,379,053,309,508.50 = 919,368,873,005.70/x
  3. Step 3: Cross multiply
    919,368,873,005.70x = 1,379,053,309,508.50 × 919,368,873,005.70
  4. Step 4: Simplify right side
    919,368,873,005.70x = 1,267,858,686,977,610,474,323,968
  5. Step 5: Solve for x
    x = 1,267,858,686,977,610,474,323,968/919,368,873,005.70
  6. Step 6: Final answer
    x = 1,379,053,309,508.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.