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Finding the Fourth Proportional to 409,464,005.80, 614,196,008.70 and 409,464,005.80

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Solution

The fourth proportional to 409,464,005.80, 614,196,008.70 and 409,464,005.80 is: 614,196,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,464,005.80 : 614,196,008.70 = 409,464,005.80 : x
  2. Step 2: Convert to fraction form
    409,464,005.80/614,196,008.70 = 409,464,005.80/x
  3. Step 3: Cross multiply
    409,464,005.80x = 614,196,008.70 × 409,464,005.80
  4. Step 4: Simplify right side
    409,464,005.80x = 251,491,158,068,673,664
  5. Step 5: Solve for x
    x = 251,491,158,068,673,664/409,464,005.80
  6. Step 6: Final answer
    x = 614,196,008.70

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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.