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Finding the Fourth Proportional to 121,168,548,097.20, 181,752,822,145.80 and 121,168,548,097.20

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Solution

The fourth proportional to 121,168,548,097.20, 181,752,822,145.80 and 121,168,548,097.20 is: 181,752,822,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,168,548,097.20 : 181,752,822,145.80 = 121,168,548,097.20 : x
  2. Step 2: Convert to fraction form
    121,168,548,097.20/181,752,822,145.80 = 121,168,548,097.20/x
  3. Step 3: Cross multiply
    121,168,548,097.20x = 181,752,822,145.80 × 121,168,548,097.20
  4. Step 4: Simplify right side
    121,168,548,097.20x = 22,022,725,571,975,202,209,792
  5. Step 5: Solve for x
    x = 22,022,725,571,975,202,209,792/121,168,548,097.20
  6. Step 6: Final answer
    x = 181,752,822,145.80

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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.