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Finding the Fourth Proportional to 343,712,808,001.10, 515,569,212,001.64 and 343,712,808,001.10

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Solution

The fourth proportional to 343,712,808,001.10, 515,569,212,001.64 and 343,712,808,001.10 is: 515,569,212,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,712,808,001.10 : 515,569,212,001.64 = 343,712,808,001.10 : x
  2. Step 2: Convert to fraction form
    343,712,808,001.10/515,569,212,001.64 = 343,712,808,001.10/x
  3. Step 3: Cross multiply
    343,712,808,001.10x = 515,569,212,001.64 × 343,712,808,001.10
  4. Step 4: Simplify right side
    343,712,808,001.10x = 177,207,741,575,998,113,579,008
  5. Step 5: Solve for x
    x = 177,207,741,575,998,113,579,008/343,712,808,001.10
  6. Step 6: Final answer
    x = 515,569,212,001.64

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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.