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Finding the Fourth Proportional to 537,654,501.10, 806,481,751.65 and 537,654,501.10

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Solution

The fourth proportional to 537,654,501.10, 806,481,751.65 and 537,654,501.10 is: 806,481,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,654,501.10 : 806,481,751.65 = 537,654,501.10 : x
  2. Step 2: Convert to fraction form
    537,654,501.10/806,481,751.65 = 537,654,501.10/x
  3. Step 3: Cross multiply
    537,654,501.10x = 806,481,751.65 × 537,654,501.10
  4. Step 4: Simplify right side
    537,654,501.10x = 433,608,543,829,634,880
  5. Step 5: Solve for x
    x = 433,608,543,829,634,880/537,654,501.10
  6. Step 6: Final answer
    x = 806,481,751.65

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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.