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Finding the Fourth Proportional to 537,654,319.10, 806,481,478.65 and 537,654,319.10

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Solution

The fourth proportional to 537,654,319.10, 806,481,478.65 and 537,654,319.10 is: 806,481,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,654,319.10 : 806,481,478.65 = 537,654,319.10 : x
  2. Step 2: Convert to fraction form
    537,654,319.10/806,481,478.65 = 537,654,319.10/x
  3. Step 3: Cross multiply
    537,654,319.10x = 806,481,478.65 × 537,654,319.10
  4. Step 4: Simplify right side
    537,654,319.10x = 433,608,250,270,326,912
  5. Step 5: Solve for x
    x = 433,608,250,270,326,912/537,654,319.10
  6. Step 6: Final answer
    x = 806,481,478.65

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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.