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Finding the Fourth Proportional to 667,763,999.10, 1,001,645,998.65 and 596,338,328.70

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Solution

The fourth proportional to 667,763,999.10, 1,001,645,998.65 and 596,338,328.70 is: 894,507,493.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,763,999.10 : 1,001,645,998.65 = 596,338,328.70 : x
  2. Step 2: Convert to fraction form
    667,763,999.10/1,001,645,998.65 = 596,338,328.70/x
  3. Step 3: Cross multiply
    667,763,999.10x = 1,001,645,998.65 × 596,338,328.70
  4. Step 4: Simplify right side
    667,763,999.10x = 597,319,900,783,983,488
  5. Step 5: Solve for x
    x = 597,319,900,783,983,488/667,763,999.10
  6. Step 6: Final answer
    x = 894,507,493.05

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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.