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Finding the Fourth Proportional to 32,947,448,748.80, 49,421,173,123.20 and 32,947,448,748.80

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Solution

The fourth proportional to 32,947,448,748.80, 49,421,173,123.20 and 32,947,448,748.80 is: 49,421,173,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,947,448,748.80 : 49,421,173,123.20 = 32,947,448,748.80 : x
  2. Step 2: Convert to fraction form
    32,947,448,748.80/49,421,173,123.20 = 32,947,448,748.80/x
  3. Step 3: Cross multiply
    32,947,448,748.80x = 49,421,173,123.20 × 32,947,448,748.80
  4. Step 4: Simplify right side
    32,947,448,748.80x = 1,628,301,568,582,203,998,208
  5. Step 5: Solve for x
    x = 1,628,301,568,582,203,998,208/32,947,448,748.80
  6. Step 6: Final answer
    x = 49,421,173,123.20

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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.