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Finding the Fourth Proportional to 1,609,708,987.70, 2,414,563,481.55 and 1,609,708,987.70

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Solution

The fourth proportional to 1,609,708,987.70, 2,414,563,481.55 and 1,609,708,987.70 is: 2,414,563,481.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,708,987.70 : 2,414,563,481.55 = 1,609,708,987.70 : x
  2. Step 2: Convert to fraction form
    1,609,708,987.70/2,414,563,481.55 = 1,609,708,987.70/x
  3. Step 3: Cross multiply
    1,609,708,987.70x = 2,414,563,481.55 × 1,609,708,987.70
  4. Step 4: Simplify right side
    1,609,708,987.70x = 3,886,744,537,623,238,656
  5. Step 5: Solve for x
    x = 3,886,744,537,623,238,656/1,609,708,987.70
  6. Step 6: Final answer
    x = 2,414,563,481.55

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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.