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Finding the Fourth Proportional to 296,662,202.40, 445,182,260.40 and 173,840,282.40

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Solution

The fourth proportional to 296,662,202.40, 445,182,260.40 and 173,840,282.40 is: 260,871,149.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,662,202.40 : 445,182,260.40 = 173,840,282.40 : x
  2. Step 2: Convert to fraction form
    296,662,202.40/445,182,260.40 = 173,840,282.40/x
  3. Step 3: Cross multiply
    296,662,202.40x = 445,182,260.40 × 173,840,282.40
  4. Step 4: Simplify right side
    296,662,202.40x = 77,390,609,867,406,336
  5. Step 5: Solve for x
    x = 77,390,609,867,406,336/296,662,202.40
  6. Step 6: Final answer
    x = 260,871,149.88

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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.