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Finding the Fourth Proportional to 409,655,504.05, 614,483,256.08 and 409,655,504.05

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Solution

The fourth proportional to 409,655,504.05, 614,483,256.08 and 409,655,504.05 is: 614,483,256.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,655,504.05 : 614,483,256.08 = 409,655,504.05 : x
  2. Step 2: Convert to fraction form
    409,655,504.05/614,483,256.08 = 409,655,504.05/x
  3. Step 3: Cross multiply
    409,655,504.05x = 614,483,256.08 × 409,655,504.05
  4. Step 4: Simplify right side
    409,655,504.05x = 251,726,447,997,689,376
  5. Step 5: Solve for x
    x = 251,726,447,997,689,376/409,655,504.05
  6. Step 6: Final answer
    x = 614,483,256.08

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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.