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Finding the Fourth Proportional to 111,735,306,064.42, 167,602,959,096.64 and 111,735,306,064.42

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Solution

The fourth proportional to 111,735,306,064.42, 167,602,959,096.64 and 111,735,306,064.42 is: 167,602,959,096.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,735,306,064.42 : 167,602,959,096.64 = 111,735,306,064.42 : x
  2. Step 2: Convert to fraction form
    111,735,306,064.42/167,602,959,096.64 = 111,735,306,064.42/x
  3. Step 3: Cross multiply
    111,735,306,064.42x = 167,602,959,096.64 × 111,735,306,064.42
  4. Step 4: Simplify right side
    111,735,306,064.42x = 18,727,167,931,965,536,993,280
  5. Step 5: Solve for x
    x = 18,727,167,931,965,536,993,280/111,735,306,064.42
  6. Step 6: Final answer
    x = 167,602,959,096.64

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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.