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Finding the Fourth Proportional to 883,676,133, 1,325,520,841.50 and 392,257,290.24

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Solution

The fourth proportional to 883,676,133, 1,325,520,841.50 and 392,257,290.24 is: 588,388,883.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,676,133 : 1,325,520,841.50 = 392,257,290.24 : x
  2. Step 2: Convert to fraction form
    883,676,133/1,325,520,841.50 = 392,257,290.24/x
  3. Step 3: Cross multiply
    883,676,133x = 1,325,520,841.50 × 392,257,290.24
  4. Step 4: Simplify right side
    883,676,133x = 519,945,213,443,434,560
  5. Step 5: Solve for x
    x = 519,945,213,443,434,560/883,676,133
  6. Step 6: Final answer
    x = 588,388,883.69

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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.