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Finding the Fourth Proportional to 32,525,064,010.30, 48,695,763,010.65 and 32,525,064,010.30

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Solution

The fourth proportional to 32,525,064,010.30, 48,695,763,010.65 and 32,525,064,010.30 is: 48,695,763,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,525,064,010.30 : 48,695,763,010.65 = 32,525,064,010.30 : x
  2. Step 2: Convert to fraction form
    32,525,064,010.30/48,695,763,010.65 = 32,525,064,010.30/x
  3. Step 3: Cross multiply
    32,525,064,010.30x = 48,695,763,010.65 × 32,525,064,010.30
  4. Step 4: Simplify right side
    32,525,064,010.30x = 1,583,832,808,951,790,174,208
  5. Step 5: Solve for x
    x = 1,583,832,808,951,790,174,208/32,525,064,010.30
  6. Step 6: Final answer
    x = 48,695,763,010.65

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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.