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Finding the Fourth Proportional to 431,670,329.10, 605,698,949.70 and 431,670,329.10

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Solution

The fourth proportional to 431,670,329.10, 605,698,949.70 and 431,670,329.10 is: 605,698,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,670,329.10 : 605,698,949.70 = 431,670,329.10 : x
  2. Step 2: Convert to fraction form
    431,670,329.10/605,698,949.70 = 431,670,329.10/x
  3. Step 3: Cross multiply
    431,670,329.10x = 605,698,949.70 × 431,670,329.10
  4. Step 4: Simplify right side
    431,670,329.10x = 261,462,264,952,523,392
  5. Step 5: Solve for x
    x = 261,462,264,952,523,392/431,670,329.10
  6. Step 6: Final answer
    x = 605,698,949.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.