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Finding the Fourth Proportional to 111,735,306,051.67, 167,602,959,077.52 and 111,735,306,051.67

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Solution

The fourth proportional to 111,735,306,051.67, 167,602,959,077.52 and 111,735,306,051.67 is: 167,602,959,077.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,735,306,051.67 : 167,602,959,077.52 = 111,735,306,051.67 : x
  2. Step 2: Convert to fraction form
    111,735,306,051.67/167,602,959,077.52 = 111,735,306,051.67/x
  3. Step 3: Cross multiply
    111,735,306,051.67x = 167,602,959,077.52 × 111,735,306,051.67
  4. Step 4: Simplify right side
    111,735,306,051.67x = 18,727,167,927,692,218,597,376
  5. Step 5: Solve for x
    x = 18,727,167,927,692,218,597,376/111,735,306,051.67
  6. Step 6: Final answer
    x = 167,602,959,077.52

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Double scale
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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.