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Finding the Fourth Proportional to 478,339,967.80, 717,509,951.70 and 436,013,644.60

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Solution

The fourth proportional to 478,339,967.80, 717,509,951.70 and 436,013,644.60 is: 654,020,466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,339,967.80 : 717,509,951.70 = 436,013,644.60 : x
  2. Step 2: Convert to fraction form
    478,339,967.80/717,509,951.70 = 436,013,644.60/x
  3. Step 3: Cross multiply
    478,339,967.80x = 717,509,951.70 × 436,013,644.60
  4. Step 4: Simplify right side
    478,339,967.80x = 312,844,129,077,486,976
  5. Step 5: Solve for x
    x = 312,844,129,077,486,976/478,339,967.80
  6. Step 6: Final answer
    x = 654,020,466.90

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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.