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Finding the Fourth Proportional to 82,616,409.60, 123,924,614.40 and 49,737,926.40

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Solution

The fourth proportional to 82,616,409.60, 123,924,614.40 and 49,737,926.40 is: 74,606,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,616,409.60 : 123,924,614.40 = 49,737,926.40 : x
  2. Step 2: Convert to fraction form
    82,616,409.60/123,924,614.40 = 49,737,926.40/x
  3. Step 3: Cross multiply
    82,616,409.60x = 123,924,614.40 × 49,737,926.40
  4. Step 4: Simplify right side
    82,616,409.60x = 6,163,753,350,175,580
  5. Step 5: Solve for x
    x = 6,163,753,350,175,580/82,616,409.60
  6. Step 6: Final answer
    x = 74,606,889.60

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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.