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Finding the Fourth Proportional to 565,521,646.70, 848,282,470.05 and 293,423,854.70

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Solution

The fourth proportional to 565,521,646.70, 848,282,470.05 and 293,423,854.70 is: 440,135,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,521,646.70 : 848,282,470.05 = 293,423,854.70 : x
  2. Step 2: Convert to fraction form
    565,521,646.70/848,282,470.05 = 293,423,854.70/x
  3. Step 3: Cross multiply
    565,521,646.70x = 848,282,470.05 × 293,423,854.70
  4. Step 4: Simplify right side
    565,521,646.70x = 248,906,312,236,508,288
  5. Step 5: Solve for x
    x = 248,906,312,236,508,288/565,521,646.70
  6. Step 6: Final answer
    x = 440,135,782.05

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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.