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Finding the Fourth Proportional to 429,790,811.40, 644,686,217.10 and 429,790,811.40

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Solution

The fourth proportional to 429,790,811.40, 644,686,217.10 and 429,790,811.40 is: 644,686,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,790,811.40 : 644,686,217.10 = 429,790,811.40 : x
  2. Step 2: Convert to fraction form
    429,790,811.40/644,686,217.10 = 429,790,811.40/x
  3. Step 3: Cross multiply
    429,790,811.40x = 644,686,217.10 × 429,790,811.40
  4. Step 4: Simplify right side
    429,790,811.40x = 277,080,212,345,805,536
  5. Step 5: Solve for x
    x = 277,080,212,345,805,536/429,790,811.40
  6. Step 6: Final answer
    x = 644,686,217.10

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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.