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Finding the Fourth Proportional to 15,297,012,145.60, 22,909,238,512.80 and 15,297,012,145.60

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Solution

The fourth proportional to 15,297,012,145.60, 22,909,238,512.80 and 15,297,012,145.60 is: 22,909,238,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,297,012,145.60 : 22,909,238,512.80 = 15,297,012,145.60 : x
  2. Step 2: Convert to fraction form
    15,297,012,145.60/22,909,238,512.80 = 15,297,012,145.60/x
  3. Step 3: Cross multiply
    15,297,012,145.60x = 22,909,238,512.80 × 15,297,012,145.60
  4. Step 4: Simplify right side
    15,297,012,145.60x = 350,442,899,776,748,847,104
  5. Step 5: Solve for x
    x = 350,442,899,776,748,847,104/15,297,012,145.60
  6. Step 6: Final answer
    x = 22,909,238,512.80

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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.