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Finding the Fourth Proportional to 30,757,029,703.20, 46,135,544,554.80 and 30,757,029,703.20

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Solution

The fourth proportional to 30,757,029,703.20, 46,135,544,554.80 and 30,757,029,703.20 is: 46,135,544,554.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,757,029,703.20 : 46,135,544,554.80 = 30,757,029,703.20 : x
  2. Step 2: Convert to fraction form
    30,757,029,703.20/46,135,544,554.80 = 30,757,029,703.20/x
  3. Step 3: Cross multiply
    30,757,029,703.20x = 46,135,544,554.80 × 30,757,029,703.20
  4. Step 4: Simplify right side
    30,757,029,703.20x = 1,418,992,314,245,290,655,744
  5. Step 5: Solve for x
    x = 1,418,992,314,245,290,655,744/30,757,029,703.20
  6. Step 6: Final answer
    x = 46,135,544,554.80

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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.