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Finding the Fourth Proportional to 407,460,761.97, 611,191,142.96 and 407,460,761.97

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Solution

The fourth proportional to 407,460,761.97, 611,191,142.96 and 407,460,761.97 is: 611,191,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,460,761.97 : 611,191,142.96 = 407,460,761.97 : x
  2. Step 2: Convert to fraction form
    407,460,761.97/611,191,142.96 = 407,460,761.97/x
  3. Step 3: Cross multiply
    407,460,761.97x = 611,191,142.96 × 407,460,761.97
  4. Step 4: Simplify right side
    407,460,761.97x = 249,036,408,814,703,552
  5. Step 5: Solve for x
    x = 249,036,408,814,703,552/407,460,761.97
  6. Step 6: Final answer
    x = 611,191,142.96

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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.