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Finding the Fourth Proportional to 32,595,696,006.30, 48,893,544,009.45 and 32,595,696,006.30

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Solution

The fourth proportional to 32,595,696,006.30, 48,893,544,009.45 and 32,595,696,006.30 is: 48,893,544,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,595,696,006.30 : 48,893,544,009.45 = 32,595,696,006.30 : x
  2. Step 2: Convert to fraction form
    32,595,696,006.30/48,893,544,009.45 = 32,595,696,006.30/x
  3. Step 3: Cross multiply
    32,595,696,006.30x = 48,893,544,009.45 × 32,595,696,006.30
  4. Step 4: Simplify right side
    32,595,696,006.30x = 1,593,719,097,202,682,626,048
  5. Step 5: Solve for x
    x = 1,593,719,097,202,682,626,048/32,595,696,006.30
  6. Step 6: Final answer
    x = 48,893,544,009.45

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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.