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Finding the Fourth Proportional to 2,578,954,066.82, 3,869,190,076.98 and 832,124,033.54

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Solution

The fourth proportional to 2,578,954,066.82, 3,869,190,076.98 and 832,124,033.54 is: 1,248,430,941.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,954,066.82 : 3,869,190,076.98 = 832,124,033.54 : x
  2. Step 2: Convert to fraction form
    2,578,954,066.82/3,869,190,076.98 = 832,124,033.54/x
  3. Step 3: Cross multiply
    2,578,954,066.82x = 3,869,190,076.98 × 832,124,033.54
  4. Step 4: Simplify right side
    2,578,954,066.82x = 3,219,646,053,389,540,352
  5. Step 5: Solve for x
    x = 3,219,646,053,389,540,352/2,578,954,066.82
  6. Step 6: Final answer
    x = 1,248,430,941.37

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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.