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Finding the Fourth Proportional to 313,206,547.52, 469,804,844.64 and 76,858,604.48

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Solution

The fourth proportional to 313,206,547.52, 469,804,844.64 and 76,858,604.48 is: 115,286,685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,206,547.52 : 469,804,844.64 = 76,858,604.48 : x
  2. Step 2: Convert to fraction form
    313,206,547.52/469,804,844.64 = 76,858,604.48/x
  3. Step 3: Cross multiply
    313,206,547.52x = 469,804,844.64 × 76,858,604.48
  4. Step 4: Simplify right side
    313,206,547.52x = 36,108,544,736,973,608
  5. Step 5: Solve for x
    x = 36,108,544,736,973,608/313,206,547.52
  6. Step 6: Final answer
    x = 115,286,685.49

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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.