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Finding the Fourth Proportional to 576,031,051.78, 794,924,943.84 and 311,713,016.12

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Solution

The fourth proportional to 576,031,051.78, 794,924,943.84 and 311,713,016.12 is: 430,165,094.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,031,051.78 : 794,924,943.84 = 311,713,016.12 : x
  2. Step 2: Convert to fraction form
    576,031,051.78/794,924,943.84 = 311,713,016.12/x
  3. Step 3: Cross multiply
    576,031,051.78x = 794,924,943.84 × 311,713,016.12
  4. Step 4: Simplify right side
    576,031,051.78x = 247,788,451,833,388,032
  5. Step 5: Solve for x
    x = 247,788,451,833,388,032/576,031,051.78
  6. Step 6: Final answer
    x = 430,165,094.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.