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Finding the Fourth Proportional to 407,122,359.45, 610,683,539.18 and 407,122,359.45

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Solution

The fourth proportional to 407,122,359.45, 610,683,539.18 and 407,122,359.45 is: 610,683,539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,122,359.45 : 610,683,539.18 = 407,122,359.45 : x
  2. Step 2: Convert to fraction form
    407,122,359.45/610,683,539.18 = 407,122,359.45/x
  3. Step 3: Cross multiply
    407,122,359.45x = 610,683,539.18 × 407,122,359.45
  4. Step 4: Simplify right side
    407,122,359.45x = 248,622,923,346,202,464
  5. Step 5: Solve for x
    x = 248,622,923,346,202,464/407,122,359.45
  6. Step 6: Final answer
    x = 610,683,539.18

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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.