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Finding the Fourth Proportional to 488,731,805.10, 733,097,707.65 and 488,731,805.10

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Solution

The fourth proportional to 488,731,805.10, 733,097,707.65 and 488,731,805.10 is: 733,097,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,731,805.10 : 733,097,707.65 = 488,731,805.10 : x
  2. Step 2: Convert to fraction form
    488,731,805.10/733,097,707.65 = 488,731,805.10/x
  3. Step 3: Cross multiply
    488,731,805.10x = 733,097,707.65 × 488,731,805.10
  4. Step 4: Simplify right side
    488,731,805.10x = 358,288,165,974,456,576
  5. Step 5: Solve for x
    x = 358,288,165,974,456,576/488,731,805.10
  6. Step 6: Final answer
    x = 733,097,707.65

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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.