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Finding the Fourth Proportional to 521,630,406.80, 781,773,763.80 and 399,858,246.80

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Solution

The fourth proportional to 521,630,406.80, 781,773,763.80 and 399,858,246.80 is: 599,272,363.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,630,406.80 : 781,773,763.80 = 399,858,246.80 : x
  2. Step 2: Convert to fraction form
    521,630,406.80/781,773,763.80 = 399,858,246.80/x
  3. Step 3: Cross multiply
    521,630,406.80x = 781,773,763.80 × 399,858,246.80
  4. Step 4: Simplify right side
    521,630,406.80x = 312,598,686,587,305,280
  5. Step 5: Solve for x
    x = 312,598,686,587,305,280/521,630,406.80
  6. Step 6: Final answer
    x = 599,272,363.18

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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.