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Finding the Fourth Proportional to 431,365,799.70, 647,048,699.55 and 431,365,799.70

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Solution

The fourth proportional to 431,365,799.70, 647,048,699.55 and 431,365,799.70 is: 647,048,699.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,365,799.70 : 647,048,699.55 = 431,365,799.70 : x
  2. Step 2: Convert to fraction form
    431,365,799.70/647,048,699.55 = 431,365,799.70/x
  3. Step 3: Cross multiply
    431,365,799.70x = 647,048,699.55 × 431,365,799.70
  4. Step 4: Simplify right side
    431,365,799.70x = 279,114,679,726,230,752
  5. Step 5: Solve for x
    x = 279,114,679,726,230,752/431,365,799.70
  6. Step 6: Final answer
    x = 647,048,699.55

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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.