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Finding the Fourth Proportional to 156,970,656,076.10, 235,455,984,114.15 and 156,970,656,076.10

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Solution

The fourth proportional to 156,970,656,076.10, 235,455,984,114.15 and 156,970,656,076.10 is: 235,455,984,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,970,656,076.10 : 235,455,984,114.15 = 156,970,656,076.10 : x
  2. Step 2: Convert to fraction form
    156,970,656,076.10/235,455,984,114.15 = 156,970,656,076.10/x
  3. Step 3: Cross multiply
    156,970,656,076.10x = 235,455,984,114.15 × 156,970,656,076.10
  4. Step 4: Simplify right side
    156,970,656,076.10x = 36,959,680,303,441,903,616,000
  5. Step 5: Solve for x
    x = 36,959,680,303,441,903,616,000/156,970,656,076.10
  6. Step 6: Final answer
    x = 235,455,984,114.15

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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.