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Finding the Fourth Proportional to 601,237,304.38, 829,693,992.32 and 350,326,072.45

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Solution

The fourth proportional to 601,237,304.38, 829,693,992.32 and 350,326,072.45 is: 483,442,121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,237,304.38 : 829,693,992.32 = 350,326,072.45 : x
  2. Step 2: Convert to fraction form
    601,237,304.38/829,693,992.32 = 350,326,072.45/x
  3. Step 3: Cross multiply
    601,237,304.38x = 829,693,992.32 × 350,326,072.45
  4. Step 4: Simplify right side
    601,237,304.38x = 290,663,437,660,677,632
  5. Step 5: Solve for x
    x = 290,663,437,660,677,632/601,237,304.38
  6. Step 6: Final answer
    x = 483,442,121.02

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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.