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Finding the Fourth Proportional to 281,881,203.40, 422,821,805.10 and 97,648,323.40

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Solution

The fourth proportional to 281,881,203.40, 422,821,805.10 and 97,648,323.40 is: 146,472,485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,881,203.40 : 422,821,805.10 = 97,648,323.40 : x
  2. Step 2: Convert to fraction form
    281,881,203.40/422,821,805.10 = 97,648,323.40/x
  3. Step 3: Cross multiply
    281,881,203.40x = 422,821,805.10 × 97,648,323.40
  4. Step 4: Simplify right side
    281,881,203.40x = 41,287,840,364,976,576
  5. Step 5: Solve for x
    x = 41,287,840,364,976,576/281,881,203.40
  6. Step 6: Final answer
    x = 146,472,485.10

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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.