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Finding the Fourth Proportional to 431,669,865.60, 605,698,300.80 and 431,669,865.60

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Solution

The fourth proportional to 431,669,865.60, 605,698,300.80 and 431,669,865.60 is: 605,698,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,669,865.60 : 605,698,300.80 = 431,669,865.60 : x
  2. Step 2: Convert to fraction form
    431,669,865.60/605,698,300.80 = 431,669,865.60/x
  3. Step 3: Cross multiply
    431,669,865.60x = 605,698,300.80 × 431,669,865.60
  4. Step 4: Simplify right side
    431,669,865.60x = 261,461,704,100,484,352
  5. Step 5: Solve for x
    x = 261,461,704,100,484,352/431,669,865.60
  6. Step 6: Final answer
    x = 605,698,300.80

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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.