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Finding the Fourth Proportional to 2,532,907,633,564.70, 3,799,361,450,347.10 and 2,532,907,633,564.70

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Solution

The fourth proportional to 2,532,907,633,564.70, 3,799,361,450,347.10 and 2,532,907,633,564.70 is: 3,799,361,450,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532,907,633,564.70 : 3,799,361,450,347.10 = 2,532,907,633,564.70 : x
  2. Step 2: Convert to fraction form
    2,532,907,633,564.70/3,799,361,450,347.10 = 2,532,907,633,564.70/x
  3. Step 3: Cross multiply
    2,532,907,633,564.70x = 3,799,361,450,347.10 × 2,532,907,633,564.70
  4. Step 4: Simplify right side
    2,532,907,633,564.70x = 9,623,431,620,255,620,037,345,280
  5. Step 5: Solve for x
    x = 9,623,431,620,255,620,037,345,280/2,532,907,633,564.70
  6. Step 6: Final answer
    x = 3,799,361,450,347.10

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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.