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Finding the Fourth Proportional to 706,642,701.54, 1,059,978,224.34 and 189,072,311.64

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Solution

The fourth proportional to 706,642,701.54, 1,059,978,224.34 and 189,072,311.64 is: 283,612,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,642,701.54 : 1,059,978,224.34 = 189,072,311.64 : x
  2. Step 2: Convert to fraction form
    706,642,701.54/1,059,978,224.34 = 189,072,311.64/x
  3. Step 3: Cross multiply
    706,642,701.54x = 1,059,978,224.34 × 189,072,311.64
  4. Step 4: Simplify right side
    706,642,701.54x = 200,412,533,164,026,304
  5. Step 5: Solve for x
    x = 200,412,533,164,026,304/706,642,701.54
  6. Step 6: Final answer
    x = 283,612,259.39

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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.