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Finding the Fourth Proportional to 543,281,005.45, 814,921,508.18 and 543,281,005.45

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Solution

The fourth proportional to 543,281,005.45, 814,921,508.18 and 543,281,005.45 is: 814,921,508.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,281,005.45 : 814,921,508.18 = 543,281,005.45 : x
  2. Step 2: Convert to fraction form
    543,281,005.45/814,921,508.18 = 543,281,005.45/x
  3. Step 3: Cross multiply
    543,281,005.45x = 814,921,508.18 × 543,281,005.45
  4. Step 4: Simplify right side
    543,281,005.45x = 442,731,376,326,860,800
  5. Step 5: Solve for x
    x = 442,731,376,326,860,800/543,281,005.45
  6. Step 6: Final answer
    x = 814,921,508.18

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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.