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Finding the Fourth Proportional to 121,169,257,417.20, 181,753,886,125.80 and 121,169,257,417.20

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Solution

The fourth proportional to 121,169,257,417.20, 181,753,886,125.80 and 121,169,257,417.20 is: 181,753,886,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,169,257,417.20 : 181,753,886,125.80 = 121,169,257,417.20 : x
  2. Step 2: Convert to fraction form
    121,169,257,417.20/181,753,886,125.80 = 121,169,257,417.20/x
  3. Step 3: Cross multiply
    121,169,257,417.20x = 181,753,886,125.80 × 121,169,257,417.20
  4. Step 4: Simplify right side
    121,169,257,417.20x = 22,022,983,414,553,514,082,304
  5. Step 5: Solve for x
    x = 22,022,983,414,553,514,082,304/121,169,257,417.20
  6. Step 6: Final answer
    x = 181,753,886,125.80

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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.