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Finding the Fourth Proportional to 565,521,105.40, 848,281,658.10 and 524,706,436.60

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Solution

The fourth proportional to 565,521,105.40, 848,281,658.10 and 524,706,436.60 is: 787,059,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,521,105.40 : 848,281,658.10 = 524,706,436.60 : x
  2. Step 2: Convert to fraction form
    565,521,105.40/848,281,658.10 = 524,706,436.60/x
  3. Step 3: Cross multiply
    565,521,105.40x = 848,281,658.10 × 524,706,436.60
  4. Step 4: Simplify right side
    565,521,105.40x = 445,098,846,054,790,528
  5. Step 5: Solve for x
    x = 445,098,846,054,790,528/565,521,105.40
  6. Step 6: Final answer
    x = 787,059,654.90

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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.