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Finding the Fourth Proportional to 308,054,410.40, 461,409,769.20 and 308,054,410.40

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Solution

The fourth proportional to 308,054,410.40, 461,409,769.20 and 308,054,410.40 is: 461,409,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,054,410.40 : 461,409,769.20 = 308,054,410.40 : x
  2. Step 2: Convert to fraction form
    308,054,410.40/461,409,769.20 = 308,054,410.40/x
  3. Step 3: Cross multiply
    308,054,410.40x = 461,409,769.20 × 308,054,410.40
  4. Step 4: Simplify right side
    308,054,410.40x = 142,139,314,403,706,064
  5. Step 5: Solve for x
    x = 142,139,314,403,706,064/308,054,410.40
  6. Step 6: Final answer
    x = 461,409,769.20

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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.