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Finding the Fourth Proportional to 744,335,843.10, 1,116,503,764.65 and 744,335,843.10

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Solution

The fourth proportional to 744,335,843.10, 1,116,503,764.65 and 744,335,843.10 is: 1,116,503,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,335,843.10 : 1,116,503,764.65 = 744,335,843.10 : x
  2. Step 2: Convert to fraction form
    744,335,843.10/1,116,503,764.65 = 744,335,843.10/x
  3. Step 3: Cross multiply
    744,335,843.10x = 1,116,503,764.65 × 744,335,843.10
  4. Step 4: Simplify right side
    744,335,843.10x = 831,053,770,985,081,856
  5. Step 5: Solve for x
    x = 831,053,770,985,081,856/744,335,843.10
  6. Step 6: Final answer
    x = 1,116,503,764.65

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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.