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Finding the Fourth Proportional to 2,996,919,497.70, 4,495,379,246.56 and 2,996,919,497.70

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Solution

The fourth proportional to 2,996,919,497.70, 4,495,379,246.56 and 2,996,919,497.70 is: 4,495,379,246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996,919,497.70 : 4,495,379,246.56 = 2,996,919,497.70 : x
  2. Step 2: Convert to fraction form
    2,996,919,497.70/4,495,379,246.56 = 2,996,919,497.70/x
  3. Step 3: Cross multiply
    2,996,919,497.70x = 4,495,379,246.56 × 2,996,919,497.70
  4. Step 4: Simplify right side
    2,996,919,497.70x = 13,472,289,713,571,600,384
  5. Step 5: Solve for x
    x = 13,472,289,713,571,600,384/2,996,919,497.70
  6. Step 6: Final answer
    x = 4,495,379,246.56

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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.