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Finding the Fourth Proportional to 488,712,863.40, 733,069,295.10 and 435,143,610.60

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Solution

The fourth proportional to 488,712,863.40, 733,069,295.10 and 435,143,610.60 is: 652,715,415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,712,863.40 : 733,069,295.10 = 435,143,610.60 : x
  2. Step 2: Convert to fraction form
    488,712,863.40/733,069,295.10 = 435,143,610.60/x
  3. Step 3: Cross multiply
    488,712,863.40x = 733,069,295.10 × 435,143,610.60
  4. Step 4: Simplify right side
    488,712,863.40x = 318,990,419,889,810,944
  5. Step 5: Solve for x
    x = 318,990,419,889,810,944/488,712,863.40
  6. Step 6: Final answer
    x = 652,715,415.90

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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.