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Finding the Fourth Proportional to 215,744,229,035.60, 323,616,343,553.40 and 215,744,229,035.60

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Solution

The fourth proportional to 215,744,229,035.60, 323,616,343,553.40 and 215,744,229,035.60 is: 323,616,343,553.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,744,229,035.60 : 323,616,343,553.40 = 215,744,229,035.60 : x
  2. Step 2: Convert to fraction form
    215,744,229,035.60/323,616,343,553.40 = 215,744,229,035.60/x
  3. Step 3: Cross multiply
    215,744,229,035.60x = 323,616,343,553.40 × 215,744,229,035.60
  4. Step 4: Simplify right side
    215,744,229,035.60x = 69,818,358,543,248,154,165,248
  5. Step 5: Solve for x
    x = 69,818,358,543,248,154,165,248/215,744,229,035.60
  6. Step 6: Final answer
    x = 323,616,343,553.40

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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.