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Finding the Fourth Proportional to 543,672,700.45, 815,509,050.68 and 543,672,700.45

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Solution

The fourth proportional to 543,672,700.45, 815,509,050.68 and 543,672,700.45 is: 815,509,050.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,672,700.45 : 815,509,050.68 = 543,672,700.45 : x
  2. Step 2: Convert to fraction form
    543,672,700.45/815,509,050.68 = 543,672,700.45/x
  3. Step 3: Cross multiply
    543,672,700.45x = 815,509,050.68 × 543,672,700.45
  4. Step 4: Simplify right side
    543,672,700.45x = 443,370,007,821,893,184
  5. Step 5: Solve for x
    x = 443,370,007,821,893,184/543,672,700.45
  6. Step 6: Final answer
    x = 815,509,050.68

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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.