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Finding the Fourth Proportional to 857,952,017.80, 1,284,377,109.90 and 857,952,017.80

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Solution

The fourth proportional to 857,952,017.80, 1,284,377,109.90 and 857,952,017.80 is: 1,284,377,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,952,017.80 : 1,284,377,109.90 = 857,952,017.80 : x
  2. Step 2: Convert to fraction form
    857,952,017.80/1,284,377,109.90 = 857,952,017.80/x
  3. Step 3: Cross multiply
    857,952,017.80x = 1,284,377,109.90 × 857,952,017.80
  4. Step 4: Simplify right side
    857,952,017.80x = 1,101,933,933,054,837,376
  5. Step 5: Solve for x
    x = 1,101,933,933,054,837,376/857,952,017.80
  6. Step 6: Final answer
    x = 1,284,377,109.90

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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.