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Finding the Fourth Proportional to 25,638,452,001.20, 38,457,678,001.80 and 25,638,452,001.20

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Solution

The fourth proportional to 25,638,452,001.20, 38,457,678,001.80 and 25,638,452,001.20 is: 38,457,678,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,638,452,001.20 : 38,457,678,001.80 = 25,638,452,001.20 : x
  2. Step 2: Convert to fraction form
    25,638,452,001.20/38,457,678,001.80 = 25,638,452,001.20/x
  3. Step 3: Cross multiply
    25,638,452,001.20x = 38,457,678,001.80 × 25,638,452,001.20
  4. Step 4: Simplify right side
    25,638,452,001.20x = 985,995,331,526,754,566,144
  5. Step 5: Solve for x
    x = 985,995,331,526,754,566,144/25,638,452,001.20
  6. Step 6: Final answer
    x = 38,457,678,001.80

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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.