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Finding the Fourth Proportional to 409,957,885.10, 614,936,827.65 and 409,957,885.10

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Solution

The fourth proportional to 409,957,885.10, 614,936,827.65 and 409,957,885.10 is: 614,936,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,957,885.10 : 614,936,827.65 = 409,957,885.10 : x
  2. Step 2: Convert to fraction form
    409,957,885.10/614,936,827.65 = 409,957,885.10/x
  3. Step 3: Cross multiply
    409,957,885.10x = 614,936,827.65 × 409,957,885.10
  4. Step 4: Simplify right side
    409,957,885.10x = 252,098,201,333,497,216
  5. Step 5: Solve for x
    x = 252,098,201,333,497,216/409,957,885.10
  6. Step 6: Final answer
    x = 614,936,827.65

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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.