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Finding the Fourth Proportional to 121,142,305,356.45, 181,713,458,034.67 and 121,142,305,356.45

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Solution

The fourth proportional to 121,142,305,356.45, 181,713,458,034.67 and 121,142,305,356.45 is: 181,713,458,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,142,305,356.45 : 181,713,458,034.67 = 121,142,305,356.45 : x
  2. Step 2: Convert to fraction form
    121,142,305,356.45/181,713,458,034.67 = 121,142,305,356.45/x
  3. Step 3: Cross multiply
    121,142,305,356.45x = 181,713,458,034.67 × 121,142,305,356.45
  4. Step 4: Simplify right side
    121,142,305,356.45x = 22,013,187,220,612,457,693,184
  5. Step 5: Solve for x
    x = 22,013,187,220,612,457,693,184/121,142,305,356.45
  6. Step 6: Final answer
    x = 181,713,458,034.67

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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.