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Finding the Fourth Proportional to 517,225,973.35, 775,838,960.03 and 271,487,654.95

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Solution

The fourth proportional to 517,225,973.35, 775,838,960.03 and 271,487,654.95 is: 407,231,482.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,225,973.35 : 775,838,960.03 = 271,487,654.95 : x
  2. Step 2: Convert to fraction form
    517,225,973.35/775,838,960.03 = 271,487,654.95/x
  3. Step 3: Cross multiply
    517,225,973.35x = 775,838,960.03 × 271,487,654.95
  4. Step 4: Simplify right side
    517,225,973.35x = 210,630,699,876,034,016
  5. Step 5: Solve for x
    x = 210,630,699,876,034,016/517,225,973.35
  6. Step 6: Final answer
    x = 407,231,482.43

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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.