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Finding the Fourth Proportional to 706,642,706.54, 1,059,978,231.84 and 189,072,316.64

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Solution

The fourth proportional to 706,642,706.54, 1,059,978,231.84 and 189,072,316.64 is: 283,612,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,642,706.54 : 1,059,978,231.84 = 189,072,316.64 : x
  2. Step 2: Convert to fraction form
    706,642,706.54/1,059,978,231.84 = 189,072,316.64/x
  3. Step 3: Cross multiply
    706,642,706.54x = 1,059,978,231.84 × 189,072,316.64
  4. Step 4: Simplify right side
    706,642,706.54x = 200,412,539,881,959,808
  5. Step 5: Solve for x
    x = 200,412,539,881,959,808/706,642,706.54
  6. Step 6: Final answer
    x = 283,612,266.89

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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.