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Finding the Fourth Proportional to 1,187,168,832,003.90, 1,780,753,248,005.90 and 1,187,168,832,003.90

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Solution

The fourth proportional to 1,187,168,832,003.90, 1,780,753,248,005.90 and 1,187,168,832,003.90 is: 1,780,753,248,005.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,168,832,003.90 : 1,780,753,248,005.90 = 1,187,168,832,003.90 : x
  2. Step 2: Convert to fraction form
    1,187,168,832,003.90/1,780,753,248,005.90 = 1,187,168,832,003.90/x
  3. Step 3: Cross multiply
    1,187,168,832,003.90x = 1,780,753,248,005.90 × 1,187,168,832,003.90
  4. Step 4: Simplify right side
    1,187,168,832,003.90x = 2,114,054,753,522,315,264,262,144
  5. Step 5: Solve for x
    x = 2,114,054,753,522,315,264,262,144/1,187,168,832,003.90
  6. Step 6: Final answer
    x = 1,780,753,248,005.90

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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.