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Finding the Fourth Proportional to 12,045,459,618,113, 18,068,189,427,170 and 12,045,459,618,113

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Solution

The fourth proportional to 12,045,459,618,113, 18,068,189,427,170 and 12,045,459,618,113 is: 18,068,189,427,170

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,045,459,618,113 : 18,068,189,427,170 = 12,045,459,618,113 : x
  2. Step 2: Convert to fraction form
    12,045,459,618,113/18,068,189,427,170 = 12,045,459,618,113/x
  3. Step 3: Cross multiply
    12,045,459,618,113x = 18,068,189,427,170 × 12,045,459,618,113
  4. Step 4: Simplify right side
    12,045,459,618,113x = 217,639,646,117,392,500,427,587,584
  5. Step 5: Solve for x
    x = 217,639,646,117,392,500,427,587,584/12,045,459,618,113
  6. Step 6: Final answer
    x = 18,068,189,427,170

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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.