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Finding the Fourth Proportional to 580,608,935.40, 870,988,052.70 and 289,624,794.60

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Solution

The fourth proportional to 580,608,935.40, 870,988,052.70 and 289,624,794.60 is: 434,474,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,608,935.40 : 870,988,052.70 = 289,624,794.60 : x
  2. Step 2: Convert to fraction form
    580,608,935.40/870,988,052.70 = 289,624,794.60/x
  3. Step 3: Cross multiply
    580,608,935.40x = 870,988,052.70 × 289,624,794.60
  4. Step 4: Simplify right side
    580,608,935.40x = 252,259,735,862,291,520
  5. Step 5: Solve for x
    x = 252,259,735,862,291,520/580,608,935.40
  6. Step 6: Final answer
    x = 434,474,429.31

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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.