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Finding the Fourth Proportional to 310,478,769.80, 465,718,154.70 and 264,314,261.60

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Solution

The fourth proportional to 310,478,769.80, 465,718,154.70 and 264,314,261.60 is: 396,471,392.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,478,769.80 : 465,718,154.70 = 264,314,261.60 : x
  2. Step 2: Convert to fraction form
    310,478,769.80/465,718,154.70 = 264,314,261.60/x
  3. Step 3: Cross multiply
    310,478,769.80x = 465,718,154.70 × 264,314,261.60
  4. Step 4: Simplify right side
    310,478,769.80x = 123,095,950,173,245,056
  5. Step 5: Solve for x
    x = 123,095,950,173,245,056/310,478,769.80
  6. Step 6: Final answer
    x = 396,471,392.40

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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.