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Finding the Fourth Proportional to 1,721,815,095,519.90, 2,582,722,643,279.80 and 1,721,815,095,519.90

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Solution

The fourth proportional to 1,721,815,095,519.90, 2,582,722,643,279.80 and 1,721,815,095,519.90 is: 2,582,722,643,279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721,815,095,519.90 : 2,582,722,643,279.80 = 1,721,815,095,519.90 : x
  2. Step 2: Convert to fraction form
    1,721,815,095,519.90/2,582,722,643,279.80 = 1,721,815,095,519.90/x
  3. Step 3: Cross multiply
    1,721,815,095,519.90x = 2,582,722,643,279.80 × 1,721,815,095,519.90
  4. Step 4: Simplify right side
    1,721,815,095,519.90x = 4,446,970,834,740,216,971,919,360
  5. Step 5: Solve for x
    x = 4,446,970,834,740,216,971,919,360/1,721,815,095,519.90
  6. Step 6: Final answer
    x = 2,582,722,643,279.80

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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.