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Finding the Fourth Proportional to 265,769,780.80, 398,654,671.20 and 265,769,780.80

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Solution

The fourth proportional to 265,769,780.80, 398,654,671.20 and 265,769,780.80 is: 398,654,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,769,780.80 : 398,654,671.20 = 265,769,780.80 : x
  2. Step 2: Convert to fraction form
    265,769,780.80/398,654,671.20 = 265,769,780.80/x
  3. Step 3: Cross multiply
    265,769,780.80x = 398,654,671.20 × 265,769,780.80
  4. Step 4: Simplify right side
    265,769,780.80x = 105,950,364,579,720,080
  5. Step 5: Solve for x
    x = 105,950,364,579,720,080/265,769,780.80
  6. Step 6: Final answer
    x = 398,654,671.20

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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.