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Finding the Fourth Proportional to 980,901,684,006.80, 1,471,352,526,010.20 and 980,901,684,006.80

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Solution

The fourth proportional to 980,901,684,006.80, 1,471,352,526,010.20 and 980,901,684,006.80 is: 1,471,352,526,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,901,684,006.80 : 1,471,352,526,010.20 = 980,901,684,006.80 : x
  2. Step 2: Convert to fraction form
    980,901,684,006.80/1,471,352,526,010.20 = 980,901,684,006.80/x
  3. Step 3: Cross multiply
    980,901,684,006.80x = 1,471,352,526,010.20 × 980,901,684,006.80
  4. Step 4: Simplify right side
    980,901,684,006.80x = 1,443,252,170,531,064,080,498,688
  5. Step 5: Solve for x
    x = 1,443,252,170,531,064,080,498,688/980,901,684,006.80
  6. Step 6: Final answer
    x = 1,471,352,526,010.20

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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.