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Finding the Fourth Proportional to 996,242,730.60, 1,491,676,710.30 and 996,242,730.60

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Solution

The fourth proportional to 996,242,730.60, 1,491,676,710.30 and 996,242,730.60 is: 1,491,676,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,242,730.60 : 1,491,676,710.30 = 996,242,730.60 : x
  2. Step 2: Convert to fraction form
    996,242,730.60/1,491,676,710.30 = 996,242,730.60/x
  3. Step 3: Cross multiply
    996,242,730.60x = 1,491,676,710.30 × 996,242,730.60
  4. Step 4: Simplify right side
    996,242,730.60x = 1,486,072,079,041,697,024
  5. Step 5: Solve for x
    x = 1,486,072,079,041,697,024/996,242,730.60
  6. Step 6: Final answer
    x = 1,491,676,710.30

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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.