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Finding the Fourth Proportional to 1,005,683,287.05, 1,508,524,930.58 and 1,005,683,287.05

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Solution

The fourth proportional to 1,005,683,287.05, 1,508,524,930.58 and 1,005,683,287.05 is: 1,508,524,930.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,683,287.05 : 1,508,524,930.58 = 1,005,683,287.05 : x
  2. Step 2: Convert to fraction form
    1,005,683,287.05/1,508,524,930.58 = 1,005,683,287.05/x
  3. Step 3: Cross multiply
    1,005,683,287.05x = 1,508,524,930.58 × 1,005,683,287.05
  4. Step 4: Simplify right side
    1,005,683,287.05x = 1,517,098,310,777,539,072
  5. Step 5: Solve for x
    x = 1,517,098,310,777,539,072/1,005,683,287.05
  6. Step 6: Final answer
    x = 1,508,524,930.58

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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.