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Finding the Fourth Proportional to 209,110,233.80, 293,056,658.20 and 209,110,233.80

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Solution

The fourth proportional to 209,110,233.80, 293,056,658.20 and 209,110,233.80 is: 293,056,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,110,233.80 : 293,056,658.20 = 209,110,233.80 : x
  2. Step 2: Convert to fraction form
    209,110,233.80/293,056,658.20 = 209,110,233.80/x
  3. Step 3: Cross multiply
    209,110,233.80x = 293,056,658.20 × 209,110,233.80
  4. Step 4: Simplify right side
    209,110,233.80x = 61,281,146,312,848,688
  5. Step 5: Solve for x
    x = 61,281,146,312,848,688/209,110,233.80
  6. Step 6: Final answer
    x = 293,056,658.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.