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Finding the Fourth Proportional to 411,292,401.83, 616,916,874.53 and 134,907,209.56

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Solution

The fourth proportional to 411,292,401.83, 616,916,874.53 and 134,907,209.56 is: 202,353,687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,292,401.83 : 616,916,874.53 = 134,907,209.56 : x
  2. Step 2: Convert to fraction form
    411,292,401.83/616,916,874.53 = 134,907,209.56/x
  3. Step 3: Cross multiply
    411,292,401.83x = 616,916,874.53 × 134,907,209.56
  4. Step 4: Simplify right side
    411,292,401.83x = 83,226,534,071,776,640
  5. Step 5: Solve for x
    x = 83,226,534,071,776,640/411,292,401.83
  6. Step 6: Final answer
    x = 202,353,687.31

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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.