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Finding the Fourth Proportional to 121,277,892,002.65, 181,916,838,003.97 and 121,277,892,002.65

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Solution

The fourth proportional to 121,277,892,002.65, 181,916,838,003.97 and 121,277,892,002.65 is: 181,916,838,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,277,892,002.65 : 181,916,838,003.97 = 121,277,892,002.65 : x
  2. Step 2: Convert to fraction form
    121,277,892,002.65/181,916,838,003.97 = 121,277,892,002.65/x
  3. Step 3: Cross multiply
    121,277,892,002.65x = 181,916,838,003.97 × 121,277,892,002.65
  4. Step 4: Simplify right side
    121,277,892,002.65x = 22,062,490,632,909,049,823,232
  5. Step 5: Solve for x
    x = 22,062,490,632,909,049,823,232/121,277,892,002.65
  6. Step 6: Final answer
    x = 181,916,838,003.97

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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.