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Finding the Fourth Proportional to 156,968,928,000.30, 235,453,392,000.45 and 156,968,928,000.30

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Solution

The fourth proportional to 156,968,928,000.30, 235,453,392,000.45 and 156,968,928,000.30 is: 235,453,392,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,968,928,000.30 : 235,453,392,000.45 = 156,968,928,000.30 : x
  2. Step 2: Convert to fraction form
    156,968,928,000.30/235,453,392,000.45 = 156,968,928,000.30/x
  3. Step 3: Cross multiply
    156,968,928,000.30x = 235,453,392,000.45 × 156,968,928,000.30
  4. Step 4: Simplify right side
    156,968,928,000.30x = 36,958,866,536,345,047,662,592
  5. Step 5: Solve for x
    x = 36,958,866,536,345,047,662,592/156,968,928,000.30
  6. Step 6: Final answer
    x = 235,453,392,000.45

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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.