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Finding the Fourth Proportional to 532,242,929.20, 798,961,590.60 and 411,609,175.60

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Solution

The fourth proportional to 532,242,929.20, 798,961,590.60 and 411,609,175.60 is: 617,875,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,242,929.20 : 798,961,590.60 = 411,609,175.60 : x
  2. Step 2: Convert to fraction form
    532,242,929.20/798,961,590.60 = 411,609,175.60/x
  3. Step 3: Cross multiply
    532,242,929.20x = 798,961,590.60 × 411,609,175.60
  4. Step 4: Simplify right side
    532,242,929.20x = 328,859,921,642,930,752
  5. Step 5: Solve for x
    x = 328,859,921,642,930,752/532,242,929.20
  6. Step 6: Final answer
    x = 617,875,604.54

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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.