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Finding the Fourth Proportional to 47,854,513.45, 71,781,770.18 and 47,854,513.45

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Solution

The fourth proportional to 47,854,513.45, 71,781,770.18 and 47,854,513.45 is: 71,781,770.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,854,513.45 : 71,781,770.18 = 47,854,513.45 : x
  2. Step 2: Convert to fraction form
    47,854,513.45/71,781,770.18 = 47,854,513.45/x
  3. Step 3: Cross multiply
    47,854,513.45x = 71,781,770.18 × 47,854,513.45
  4. Step 4: Simplify right side
    47,854,513.45x = 3,435,081,686,543,619.50
  5. Step 5: Solve for x
    x = 3,435,081,686,543,619.50/47,854,513.45
  6. Step 6: Final answer
    x = 71,781,770.18

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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.