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Finding the Fourth Proportional to 275,810,189,617.35, 413,715,284,426.02 and 275,810,189,617.35

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Solution

The fourth proportional to 275,810,189,617.35, 413,715,284,426.02 and 275,810,189,617.35 is: 413,715,284,426.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,810,189,617.35 : 413,715,284,426.02 = 275,810,189,617.35 : x
  2. Step 2: Convert to fraction form
    275,810,189,617.35/413,715,284,426.02 = 275,810,189,617.35/x
  3. Step 3: Cross multiply
    275,810,189,617.35x = 413,715,284,426.02 × 275,810,189,617.35
  4. Step 4: Simplify right side
    275,810,189,617.35x = 114,106,891,045,136,456,744,960
  5. Step 5: Solve for x
    x = 114,106,891,045,136,456,744,960/275,810,189,617.35
  6. Step 6: Final answer
    x = 413,715,284,426.02

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Double scale
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1.5x scale

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.