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Finding the Fourth Proportional to 532,992,054.30, 799,488,081.45 and 411,910,403.10

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Solution

The fourth proportional to 532,992,054.30, 799,488,081.45 and 411,910,403.10 is: 617,865,604.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,992,054.30 : 799,488,081.45 = 411,910,403.10 : x
  2. Step 2: Convert to fraction form
    532,992,054.30/799,488,081.45 = 411,910,403.10/x
  3. Step 3: Cross multiply
    532,992,054.30x = 799,488,081.45 × 411,910,403.10
  4. Step 4: Simplify right side
    532,992,054.30x = 329,317,457,903,715,200
  5. Step 5: Solve for x
    x = 329,317,457,903,715,200/532,992,054.30
  6. Step 6: Final answer
    x = 617,865,604.65

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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.