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Finding the Fourth Proportional to 565,787,497.60, 848,681,246.40 and 497,763,049.60

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Solution

The fourth proportional to 565,787,497.60, 848,681,246.40 and 497,763,049.60 is: 746,644,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,787,497.60 : 848,681,246.40 = 497,763,049.60 : x
  2. Step 2: Convert to fraction form
    565,787,497.60/848,681,246.40 = 497,763,049.60/x
  3. Step 3: Cross multiply
    565,787,497.60x = 848,681,246.40 × 497,763,049.60
  4. Step 4: Simplify right side
    565,787,497.60x = 422,442,165,346,393,024
  5. Step 5: Solve for x
    x = 422,442,165,346,393,024/565,787,497.60
  6. Step 6: Final answer
    x = 746,644,574.40

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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.