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Finding the Fourth Proportional to 520,643,789.64, 718,486,458.72 and 285,698,381.84

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Solution

The fourth proportional to 520,643,789.64, 718,486,458.72 and 285,698,381.84 is: 394,262,685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,643,789.64 : 718,486,458.72 = 285,698,381.84 : x
  2. Step 2: Convert to fraction form
    520,643,789.64/718,486,458.72 = 285,698,381.84/x
  3. Step 3: Cross multiply
    520,643,789.64x = 718,486,458.72 × 285,698,381.84
  4. Step 4: Simplify right side
    520,643,789.64x = 205,270,418,630,255,936
  5. Step 5: Solve for x
    x = 205,270,418,630,255,936/520,643,789.64
  6. Step 6: Final answer
    x = 394,262,685.38

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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.