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Finding the Fourth Proportional to 409,655,422.80, 614,483,134.20 and 409,655,422.80

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Solution

The fourth proportional to 409,655,422.80, 614,483,134.20 and 409,655,422.80 is: 614,483,134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,655,422.80 : 614,483,134.20 = 409,655,422.80 : x
  2. Step 2: Convert to fraction form
    409,655,422.80/614,483,134.20 = 409,655,422.80/x
  3. Step 3: Cross multiply
    409,655,422.80x = 614,483,134.20 × 409,655,422.80
  4. Step 4: Simplify right side
    409,655,422.80x = 251,726,348,144,170,176
  5. Step 5: Solve for x
    x = 251,726,348,144,170,176/409,655,422.80
  6. Step 6: Final answer
    x = 614,483,134.20

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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.