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Finding the Fourth Proportional to 613,531,029.35, 846,693,711.65 and 362,850,309.65

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Solution

The fourth proportional to 613,531,029.35, 846,693,711.65 and 362,850,309.65 is: 500,745,782.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,531,029.35 : 846,693,711.65 = 362,850,309.65 : x
  2. Step 2: Convert to fraction form
    613,531,029.35/846,693,711.65 = 362,850,309.65/x
  3. Step 3: Cross multiply
    613,531,029.35x = 846,693,711.65 × 362,850,309.65
  4. Step 4: Simplify right side
    613,531,029.35x = 307,223,075,450,910,272
  5. Step 5: Solve for x
    x = 307,223,075,450,910,272/613,531,029.35
  6. Step 6: Final answer
    x = 500,745,782.62

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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.