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Finding the Fourth Proportional to 996,856,012.05, 1,495,284,018.08 and 996,856,012.05

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Solution

The fourth proportional to 996,856,012.05, 1,495,284,018.08 and 996,856,012.05 is: 1,495,284,018.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,856,012.05 : 1,495,284,018.08 = 996,856,012.05 : x
  2. Step 2: Convert to fraction form
    996,856,012.05/1,495,284,018.08 = 996,856,012.05/x
  3. Step 3: Cross multiply
    996,856,012.05x = 1,495,284,018.08 × 996,856,012.05
  4. Step 4: Simplify right side
    996,856,012.05x = 1,490,582,863,140,344,576
  5. Step 5: Solve for x
    x = 1,490,582,863,140,344,576/996,856,012.05
  6. Step 6: Final answer
    x = 1,495,284,018.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.