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Finding the Fourth Proportional to 12,045,459,618,008, 18,068,189,427,011 and 12,045,459,618,008

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Solution

The fourth proportional to 12,045,459,618,008, 18,068,189,427,011 and 12,045,459,618,008 is: 18,068,189,427,011

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,045,459,618,008 : 18,068,189,427,011 = 12,045,459,618,008 : x
  2. Step 2: Convert to fraction form
    12,045,459,618,008/18,068,189,427,011 = 12,045,459,618,008/x
  3. Step 3: Cross multiply
    12,045,459,618,008x = 18,068,189,427,011 × 12,045,459,618,008
  4. Step 4: Simplify right side
    12,045,459,618,008x = 217,639,646,113,580,115,656,966,144
  5. Step 5: Solve for x
    x = 217,639,646,113,580,115,656,966,144/12,045,459,618,008
  6. Step 6: Final answer
    x = 18,068,189,427,011

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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.