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Finding the Fourth Proportional to 157,096,584,005.10, 235,644,876,007.65 and 157,096,584,005.10

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Solution

The fourth proportional to 157,096,584,005.10, 235,644,876,007.65 and 157,096,584,005.10 is: 235,644,876,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,096,584,005.10 : 235,644,876,007.65 = 157,096,584,005.10 : x
  2. Step 2: Convert to fraction form
    157,096,584,005.10/235,644,876,007.65 = 157,096,584,005.10/x
  3. Step 3: Cross multiply
    157,096,584,005.10x = 235,644,876,007.65 × 157,096,584,005.10
  4. Step 4: Simplify right side
    157,096,584,005.10x = 37,019,005,059,107,160,850,432
  5. Step 5: Solve for x
    x = 37,019,005,059,107,160,850,432/157,096,584,005.10
  6. Step 6: Final answer
    x = 235,644,876,007.65

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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.