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Finding the Fourth Proportional to 976,573,791.90, 1,347,787,367.19 and 580,098,347.89

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Solution

The fourth proportional to 976,573,791.90, 1,347,787,367.19 and 580,098,347.89 is: 800,604,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,573,791.90 : 1,347,787,367.19 = 580,098,347.89 : x
  2. Step 2: Convert to fraction form
    976,573,791.90/1,347,787,367.19 = 580,098,347.89/x
  3. Step 3: Cross multiply
    976,573,791.90x = 1,347,787,367.19 × 580,098,347.89
  4. Step 4: Simplify right side
    976,573,791.90x = 781,849,225,010,562,432
  5. Step 5: Solve for x
    x = 781,849,225,010,562,432/976,573,791.90
  6. Step 6: Final answer
    x = 800,604,349.10

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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.