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Finding the Fourth Proportional to 157,096,584,000.20, 235,644,876,000.27 and 157,096,584,000.20

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Solution

The fourth proportional to 157,096,584,000.20, 235,644,876,000.27 and 157,096,584,000.20 is: 235,644,876,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,096,584,000.20 : 235,644,876,000.27 = 157,096,584,000.20 : x
  2. Step 2: Convert to fraction form
    157,096,584,000.20/235,644,876,000.27 = 157,096,584,000.20/x
  3. Step 3: Cross multiply
    157,096,584,000.20x = 235,644,876,000.27 × 157,096,584,000.20
  4. Step 4: Simplify right side
    157,096,584,000.20x = 37,019,005,056,793,129,779,200
  5. Step 5: Solve for x
    x = 37,019,005,056,793,129,779,200/157,096,584,000.20
  6. Step 6: Final answer
    x = 235,644,876,000.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.