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Finding the Fourth Proportional to 419,977,905.40, 586,608,578.60 and 419,977,905.40

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Solution

The fourth proportional to 419,977,905.40, 586,608,578.60 and 419,977,905.40 is: 586,608,578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,977,905.40 : 586,608,578.60 = 419,977,905.40 : x
  2. Step 2: Convert to fraction form
    419,977,905.40/586,608,578.60 = 419,977,905.40/x
  3. Step 3: Cross multiply
    419,977,905.40x = 586,608,578.60 × 419,977,905.40
  4. Step 4: Simplify right side
    419,977,905.40x = 246,362,642,130,099,264
  5. Step 5: Solve for x
    x = 246,362,642,130,099,264/419,977,905.40
  6. Step 6: Final answer
    x = 586,608,578.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.