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Finding the Fourth Proportional to 902,544,019.11, 1,245,052,359 and 589,461,497.19

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Solution

The fourth proportional to 902,544,019.11, 1,245,052,359 and 589,461,497.19 is: 813,157,488.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,544,019.11 : 1,245,052,359 = 589,461,497.19 : x
  2. Step 2: Convert to fraction form
    902,544,019.11/1,245,052,359 = 589,461,497.19/x
  3. Step 3: Cross multiply
    902,544,019.11x = 1,245,052,359 × 589,461,497.19
  4. Step 4: Simplify right side
    902,544,019.11x = 733,910,427,616,081,408
  5. Step 5: Solve for x
    x = 733,910,427,616,081,408/902,544,019.11
  6. Step 6: Final answer
    x = 813,157,488.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.