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Finding the Fourth Proportional to 409,452,419.10, 614,178,628.65 and 409,452,419.10

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Solution

The fourth proportional to 409,452,419.10, 614,178,628.65 and 409,452,419.10 is: 614,178,628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,452,419.10 : 614,178,628.65 = 409,452,419.10 : x
  2. Step 2: Convert to fraction form
    409,452,419.10/614,178,628.65 = 409,452,419.10/x
  3. Step 3: Cross multiply
    409,452,419.10x = 614,178,628.65 × 409,452,419.10
  4. Step 4: Simplify right side
    409,452,419.10x = 251,476,925,260,263,072
  5. Step 5: Solve for x
    x = 251,476,925,260,263,072/409,452,419.10
  6. Step 6: Final answer
    x = 614,178,628.65

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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.