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Finding the Fourth Proportional to 398,608,847.80, 597,913,271.70 and 183,617,999.80

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Solution

The fourth proportional to 398,608,847.80, 597,913,271.70 and 183,617,999.80 is: 275,426,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,608,847.80 : 597,913,271.70 = 183,617,999.80 : x
  2. Step 2: Convert to fraction form
    398,608,847.80/597,913,271.70 = 183,617,999.80/x
  3. Step 3: Cross multiply
    398,608,847.80x = 597,913,271.70 × 183,617,999.80
  4. Step 4: Simplify right side
    398,608,847.80x = 109,787,639,003,427,968
  5. Step 5: Solve for x
    x = 109,787,639,003,427,968/398,608,847.80
  6. Step 6: Final answer
    x = 275,426,999.70

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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.