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Finding the Fourth Proportional to 229,217,502,647.80, 343,826,253,971.70 and 229,217,502,647.80

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Solution

The fourth proportional to 229,217,502,647.80, 343,826,253,971.70 and 229,217,502,647.80 is: 343,826,253,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,217,502,647.80 : 343,826,253,971.70 = 229,217,502,647.80 : x
  2. Step 2: Convert to fraction form
    229,217,502,647.80/343,826,253,971.70 = 229,217,502,647.80/x
  3. Step 3: Cross multiply
    229,217,502,647.80x = 343,826,253,971.70 × 229,217,502,647.80
  4. Step 4: Simplify right side
    229,217,502,647.80x = 78,810,995,280,141,294,239,744
  5. Step 5: Solve for x
    x = 78,810,995,280,141,294,239,744/229,217,502,647.80
  6. Step 6: Final answer
    x = 343,826,253,971.70

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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.