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Finding the Fourth Proportional to 310,478,980.80, 465,718,471.20 and 264,314,472.60

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Solution

The fourth proportional to 310,478,980.80, 465,718,471.20 and 264,314,472.60 is: 396,471,708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,478,980.80 : 465,718,471.20 = 264,314,472.60 : x
  2. Step 2: Convert to fraction form
    310,478,980.80/465,718,471.20 = 264,314,472.60/x
  3. Step 3: Cross multiply
    310,478,980.80x = 465,718,471.20 × 264,314,472.60
  4. Step 4: Simplify right side
    310,478,980.80x = 123,096,132,095,306,288
  5. Step 5: Solve for x
    x = 123,096,132,095,306,288/310,478,980.80
  6. Step 6: Final answer
    x = 396,471,708.90

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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.