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Finding the Fourth Proportional to 980,744,841,347.90, 1,471,117,262,021.90 and 980,744,841,347.90

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Solution

The fourth proportional to 980,744,841,347.90, 1,471,117,262,021.90 and 980,744,841,347.90 is: 1,471,117,262,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,744,841,347.90 : 1,471,117,262,021.90 = 980,744,841,347.90 : x
  2. Step 2: Convert to fraction form
    980,744,841,347.90/1,471,117,262,021.90 = 980,744,841,347.90/x
  3. Step 3: Cross multiply
    980,744,841,347.90x = 1,471,117,262,021.90 × 980,744,841,347.90
  4. Step 4: Simplify right side
    980,744,841,347.90x = 1,442,790,665,745,825,240,449,024
  5. Step 5: Solve for x
    x = 1,442,790,665,745,825,240,449,024/980,744,841,347.90
  6. Step 6: Final answer
    x = 1,471,117,262,021.90

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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.