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Finding the Fourth Proportional to 121,169,257,416.70, 181,753,886,125.05 and 121,169,257,416.70

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Solution

The fourth proportional to 121,169,257,416.70, 181,753,886,125.05 and 121,169,257,416.70 is: 181,753,886,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,169,257,416.70 : 181,753,886,125.05 = 121,169,257,416.70 : x
  2. Step 2: Convert to fraction form
    121,169,257,416.70/181,753,886,125.05 = 121,169,257,416.70/x
  3. Step 3: Cross multiply
    121,169,257,416.70x = 181,753,886,125.05 × 121,169,257,416.70
  4. Step 4: Simplify right side
    121,169,257,416.70x = 22,022,983,414,371,758,112,768
  5. Step 5: Solve for x
    x = 22,022,983,414,371,758,112,768/121,169,257,416.70
  6. Step 6: Final answer
    x = 181,753,886,125.05

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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.