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Finding the Fourth Proportional to 580,353,267.77, 800,866,470.47 and 354,669,820.05

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Solution

The fourth proportional to 580,353,267.77, 800,866,470.47 and 354,669,820.05 is: 489,431,494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,353,267.77 : 800,866,470.47 = 354,669,820.05 : x
  2. Step 2: Convert to fraction form
    580,353,267.77/800,866,470.47 = 354,669,820.05/x
  3. Step 3: Cross multiply
    580,353,267.77x = 800,866,470.47 × 354,669,820.05
  4. Step 4: Simplify right side
    580,353,267.77x = 284,043,166,963,900,224
  5. Step 5: Solve for x
    x = 284,043,166,963,900,224/580,353,267.77
  6. Step 6: Final answer
    x = 489,431,494.13

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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.