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Finding the Fourth Proportional to 974,325,007.80, 1,461,487,511.70 and 664,388,616.60

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Solution

The fourth proportional to 974,325,007.80, 1,461,487,511.70 and 664,388,616.60 is: 996,582,924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,325,007.80 : 1,461,487,511.70 = 664,388,616.60 : x
  2. Step 2: Convert to fraction form
    974,325,007.80/1,461,487,511.70 = 664,388,616.60/x
  3. Step 3: Cross multiply
    974,325,007.80x = 1,461,487,511.70 × 664,388,616.60
  4. Step 4: Simplify right side
    974,325,007.80x = 970,995,666,076,539,392
  5. Step 5: Solve for x
    x = 970,995,666,076,539,392/974,325,007.80
  6. Step 6: Final answer
    x = 996,582,924.90

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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.