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Finding the Fourth Proportional to 121,277,892,220.65, 181,916,838,330.97 and 121,277,892,220.65

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Solution

The fourth proportional to 121,277,892,220.65, 181,916,838,330.97 and 121,277,892,220.65 is: 181,916,838,330.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,277,892,220.65 : 181,916,838,330.97 = 121,277,892,220.65 : x
  2. Step 2: Convert to fraction form
    121,277,892,220.65/181,916,838,330.97 = 121,277,892,220.65/x
  3. Step 3: Cross multiply
    121,277,892,220.65x = 181,916,838,330.97 × 121,277,892,220.65
  4. Step 4: Simplify right side
    121,277,892,220.65x = 22,062,490,712,224,789,692,416
  5. Step 5: Solve for x
    x = 22,062,490,712,224,789,692,416/121,277,892,220.65
  6. Step 6: Final answer
    x = 181,916,838,330.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.