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Finding the Fourth Proportional to 6,066,252,001.05, 8,517,241,602.75 and 6,066,252,001.05

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Solution

The fourth proportional to 6,066,252,001.05, 8,517,241,602.75 and 6,066,252,001.05 is: 8,517,241,602.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,066,252,001.05 : 8,517,241,602.75 = 6,066,252,001.05 : x
  2. Step 2: Convert to fraction form
    6,066,252,001.05/8,517,241,602.75 = 6,066,252,001.05/x
  3. Step 3: Cross multiply
    6,066,252,001.05x = 8,517,241,602.75 × 6,066,252,001.05
  4. Step 4: Simplify right side
    6,066,252,001.05x = 51,667,733,916,108,496,896
  5. Step 5: Solve for x
    x = 51,667,733,916,108,496,896/6,066,252,001.05
  6. Step 6: Final answer
    x = 8,517,241,602.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.