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Finding the Fourth Proportional to 123,537,217,218.80, 185,305,825,828.20 and 123,537,217,218.80

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Solution

The fourth proportional to 123,537,217,218.80, 185,305,825,828.20 and 123,537,217,218.80 is: 185,305,825,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,537,217,218.80 : 185,305,825,828.20 = 123,537,217,218.80 : x
  2. Step 2: Convert to fraction form
    123,537,217,218.80/185,305,825,828.20 = 123,537,217,218.80/x
  3. Step 3: Cross multiply
    123,537,217,218.80x = 185,305,825,828.20 × 123,537,217,218.80
  4. Step 4: Simplify right side
    123,537,217,218.80x = 22,892,166,057,247,465,537,536
  5. Step 5: Solve for x
    x = 22,892,166,057,247,465,537,536/123,537,217,218.80
  6. Step 6: Final answer
    x = 185,305,825,828.20

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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.