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Finding the Fourth Proportional to 478,339,781.80, 717,509,672.70 and 436,013,458.60

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Solution

The fourth proportional to 478,339,781.80, 717,509,672.70 and 436,013,458.60 is: 654,020,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,339,781.80 : 717,509,672.70 = 436,013,458.60 : x
  2. Step 2: Convert to fraction form
    478,339,781.80/717,509,672.70 = 436,013,458.60/x
  3. Step 3: Cross multiply
    478,339,781.80x = 717,509,672.70 × 436,013,458.60
  4. Step 4: Simplify right side
    478,339,781.80x = 312,843,873,972,881,024
  5. Step 5: Solve for x
    x = 312,843,873,972,881,024/478,339,781.80
  6. Step 6: Final answer
    x = 654,020,187.90

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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.