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Finding the Fourth Proportional to 602,170,578, 903,255,920.28 and 214,008,728.94

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Solution

The fourth proportional to 602,170,578, 903,255,920.28 and 214,008,728.94 is: 321,013,112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,170,578 : 903,255,920.28 = 214,008,728.94 : x
  2. Step 2: Convert to fraction form
    602,170,578/903,255,920.28 = 214,008,728.94/x
  3. Step 3: Cross multiply
    602,170,578x = 903,255,920.28 × 214,008,728.94
  4. Step 4: Simplify right side
    602,170,578x = 193,304,651,406,652,768
  5. Step 5: Solve for x
    x = 193,304,651,406,652,768/602,170,578
  6. Step 6: Final answer
    x = 321,013,112.35

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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.