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Finding the Fourth Proportional to 299,026,011.84, 412,655,978.40 and 165,064,009.44

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Solution

The fourth proportional to 299,026,011.84, 412,655,978.40 and 165,064,009.44 is: 227,788,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,026,011.84 : 412,655,978.40 = 165,064,009.44 : x
  2. Step 2: Convert to fraction form
    299,026,011.84/412,655,978.40 = 165,064,009.44/x
  3. Step 3: Cross multiply
    299,026,011.84x = 412,655,978.40 × 165,064,009.44
  4. Step 4: Simplify right side
    299,026,011.84x = 68,114,650,314,090,032
  5. Step 5: Solve for x
    x = 68,114,650,314,090,032/299,026,011.84
  6. Step 6: Final answer
    x = 227,788,378.33

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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.