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Finding the Fourth Proportional to 487,589,463,000.45, 731,384,194,500.69 and 487,589,463,000.45

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Solution

The fourth proportional to 487,589,463,000.45, 731,384,194,500.69 and 487,589,463,000.45 is: 731,384,194,500.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,589,463,000.45 : 731,384,194,500.69 = 487,589,463,000.45 : x
  2. Step 2: Convert to fraction form
    487,589,463,000.45/731,384,194,500.69 = 487,589,463,000.45/x
  3. Step 3: Cross multiply
    487,589,463,000.45x = 731,384,194,500.69 × 487,589,463,000.45
  4. Step 4: Simplify right side
    487,589,463,000.45x = 356,615,226,643,608,114,298,880
  5. Step 5: Solve for x
    x = 356,615,226,643,608,114,298,880/487,589,463,000.45
  6. Step 6: Final answer
    x = 731,384,194,500.69

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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.