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Finding the Fourth Proportional to 1,510,348,032,118, 2,265,522,048,177 and 1,510,348,032,118

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Solution

The fourth proportional to 1,510,348,032,118, 2,265,522,048,177 and 1,510,348,032,118 is: 2,265,522,048,177

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510,348,032,118 : 2,265,522,048,177 = 1,510,348,032,118 : x
  2. Step 2: Convert to fraction form
    1,510,348,032,118/2,265,522,048,177 = 1,510,348,032,118/x
  3. Step 3: Cross multiply
    1,510,348,032,118x = 2,265,522,048,177 × 1,510,348,032,118
  4. Step 4: Simplify right side
    1,510,348,032,118x = 3,421,726,767,184,072,560,082,944
  5. Step 5: Solve for x
    x = 3,421,726,767,184,072,560,082,944/1,510,348,032,118
  6. Step 6: Final answer
    x = 2,265,522,048,177

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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.