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Finding the Fourth Proportional to 24,829,522,083.60, 37,244,283,125.40 and 24,829,522,083.60

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Solution

The fourth proportional to 24,829,522,083.60, 37,244,283,125.40 and 24,829,522,083.60 is: 37,244,283,125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,829,522,083.60 : 37,244,283,125.40 = 24,829,522,083.60 : x
  2. Step 2: Convert to fraction form
    24,829,522,083.60/37,244,283,125.40 = 24,829,522,083.60/x
  3. Step 3: Cross multiply
    24,829,522,083.60x = 37,244,283,125.40 × 24,829,522,083.60
  4. Step 4: Simplify right side
    24,829,522,083.60x = 924,757,750,349,970,145,280
  5. Step 5: Solve for x
    x = 924,757,750,349,970,145,280/24,829,522,083.60
  6. Step 6: Final answer
    x = 37,244,283,125.40

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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.