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Finding the Fourth Proportional to 15,536,467,497.60, 23,304,701,246.40 and 15,536,467,497.60

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Solution

The fourth proportional to 15,536,467,497.60, 23,304,701,246.40 and 15,536,467,497.60 is: 23,304,701,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,536,467,497.60 : 23,304,701,246.40 = 15,536,467,497.60 : x
  2. Step 2: Convert to fraction form
    15,536,467,497.60/23,304,701,246.40 = 15,536,467,497.60/x
  3. Step 3: Cross multiply
    15,536,467,497.60x = 23,304,701,246.40 × 15,536,467,497.60
  4. Step 4: Simplify right side
    15,536,467,497.60x = 362,072,733,455,971,844,096
  5. Step 5: Solve for x
    x = 362,072,733,455,971,844,096/15,536,467,497.60
  6. Step 6: Final answer
    x = 23,304,701,246.40

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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.