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Finding the Fourth Proportional to 310,767,295.80, 466,150,943.70 and 208,580,287.80

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Solution

The fourth proportional to 310,767,295.80, 466,150,943.70 and 208,580,287.80 is: 312,870,431.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,767,295.80 : 466,150,943.70 = 208,580,287.80 : x
  2. Step 2: Convert to fraction form
    310,767,295.80/466,150,943.70 = 208,580,287.80/x
  3. Step 3: Cross multiply
    310,767,295.80x = 466,150,943.70 × 208,580,287.80
  4. Step 4: Simplify right side
    310,767,295.80x = 97,229,897,995,187,600
  5. Step 5: Solve for x
    x = 97,229,897,995,187,600/310,767,295.80
  6. Step 6: Final answer
    x = 312,870,431.70

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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.