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Finding the Fourth Proportional to 577,196,697.84, 866,092,712.04 and 270,519,966.96

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Solution

The fourth proportional to 577,196,697.84, 866,092,712.04 and 270,519,966.96 is: 405,919,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,196,697.84 : 866,092,712.04 = 270,519,966.96 : x
  2. Step 2: Convert to fraction form
    577,196,697.84/866,092,712.04 = 270,519,966.96/x
  3. Step 3: Cross multiply
    577,196,697.84x = 866,092,712.04 × 270,519,966.96
  4. Step 4: Simplify right side
    577,196,697.84x = 234,295,371,845,357,568
  5. Step 5: Solve for x
    x = 234,295,371,845,357,568/577,196,697.84
  6. Step 6: Final answer
    x = 405,919,459.90

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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.