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Finding the Fourth Proportional to 343,712,808,002.10, 515,569,212,003.15 and 343,712,808,002.10

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Solution

The fourth proportional to 343,712,808,002.10, 515,569,212,003.15 and 343,712,808,002.10 is: 515,569,212,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,712,808,002.10 : 515,569,212,003.15 = 343,712,808,002.10 : x
  2. Step 2: Convert to fraction form
    343,712,808,002.10/515,569,212,003.15 = 343,712,808,002.10/x
  3. Step 3: Cross multiply
    343,712,808,002.10x = 515,569,212,003.15 × 343,712,808,002.10
  4. Step 4: Simplify right side
    343,712,808,002.10x = 177,207,741,577,032,697,380,864
  5. Step 5: Solve for x
    x = 177,207,741,577,032,697,380,864/343,712,808,002.10
  6. Step 6: Final answer
    x = 515,569,212,003.15

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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.