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Finding the Fourth Proportional to 433,613,765.84, 598,398,978.12 and 245,427,100.88

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Solution

The fourth proportional to 433,613,765.84, 598,398,978.12 and 245,427,100.88 is: 338,696,180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,613,765.84 : 598,398,978.12 = 245,427,100.88 : x
  2. Step 2: Convert to fraction form
    433,613,765.84/598,398,978.12 = 245,427,100.88/x
  3. Step 3: Cross multiply
    433,613,765.84x = 598,398,978.12 × 245,427,100.88
  4. Step 4: Simplify right side
    433,613,765.84x = 146,863,326,369,546,144
  5. Step 5: Solve for x
    x = 146,863,326,369,546,144/433,613,765.84
  6. Step 6: Final answer
    x = 338,696,180.66

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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.