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Finding the Fourth Proportional to 156,952,243,189.58, 235,428,364,784.37 and 156,952,243,189.58

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Solution

The fourth proportional to 156,952,243,189.58, 235,428,364,784.37 and 156,952,243,189.58 is: 235,428,364,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,952,243,189.58 : 235,428,364,784.37 = 156,952,243,189.58 : x
  2. Step 2: Convert to fraction form
    156,952,243,189.58/235,428,364,784.37 = 156,952,243,189.58/x
  3. Step 3: Cross multiply
    156,952,243,189.58x = 235,428,364,784.37 × 156,952,243,189.58
  4. Step 4: Simplify right side
    156,952,243,189.58x = 36,951,009,963,361,588,740,096
  5. Step 5: Solve for x
    x = 36,951,009,963,361,588,740,096/156,952,243,189.58
  6. Step 6: Final answer
    x = 235,428,364,784.37

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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.