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Finding the Fourth Proportional to 504,144,672.70, 756,217,009.05 and 504,144,672.70

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Solution

The fourth proportional to 504,144,672.70, 756,217,009.05 and 504,144,672.70 is: 756,217,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,144,672.70 : 756,217,009.05 = 504,144,672.70 : x
  2. Step 2: Convert to fraction form
    504,144,672.70/756,217,009.05 = 504,144,672.70/x
  3. Step 3: Cross multiply
    504,144,672.70x = 756,217,009.05 × 504,144,672.70
  4. Step 4: Simplify right side
    504,144,672.70x = 381,242,776,517,685,184
  5. Step 5: Solve for x
    x = 381,242,776,517,685,184/504,144,672.70
  6. Step 6: Final answer
    x = 756,217,009.05

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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.