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Finding the Fourth Proportional to 6,843,569,905,009.30, 10,265,354,857,514 and 6,843,569,905,009.30

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Solution

The fourth proportional to 6,843,569,905,009.30, 10,265,354,857,514 and 6,843,569,905,009.30 is: 10,265,354,857,514

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843,569,905,009.30 : 10,265,354,857,514 = 6,843,569,905,009.30 : x
  2. Step 2: Convert to fraction form
    6,843,569,905,009.30/10,265,354,857,514 = 6,843,569,905,009.30/x
  3. Step 3: Cross multiply
    6,843,569,905,009.30x = 10,265,354,857,514 × 6,843,569,905,009.30
  4. Step 4: Simplify right side
    6,843,569,905,009.30x = 70,251,673,567,123,835,476,508,672
  5. Step 5: Solve for x
    x = 70,251,673,567,123,835,476,508,672/6,843,569,905,009.30
  6. Step 6: Final answer
    x = 10,265,354,857,514

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.