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Finding the Fourth Proportional to 121,168,549,512.67, 181,752,824,269.01 and 121,168,549,512.67

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Solution

The fourth proportional to 121,168,549,512.67, 181,752,824,269.01 and 121,168,549,512.67 is: 181,752,824,269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,168,549,512.67 : 181,752,824,269.01 = 121,168,549,512.67 : x
  2. Step 2: Convert to fraction form
    121,168,549,512.67/181,752,824,269.01 = 121,168,549,512.67/x
  3. Step 3: Cross multiply
    121,168,549,512.67x = 181,752,824,269.01 × 121,168,549,512.67
  4. Step 4: Simplify right side
    121,168,549,512.67x = 22,022,726,086,507,150,442,496
  5. Step 5: Solve for x
    x = 22,022,726,086,507,150,442,496/121,168,549,512.67
  6. Step 6: Final answer
    x = 181,752,824,269.01

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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.