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Finding the Fourth Proportional to 12,133,492,675.20, 18,173,029,233.60 and 12,133,492,675.20

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Solution

The fourth proportional to 12,133,492,675.20, 18,173,029,233.60 and 12,133,492,675.20 is: 18,173,029,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133,492,675.20 : 18,173,029,233.60 = 12,133,492,675.20 : x
  2. Step 2: Convert to fraction form
    12,133,492,675.20/18,173,029,233.60 = 12,133,492,675.20/x
  3. Step 3: Cross multiply
    12,133,492,675.20x = 18,173,029,233.60 × 12,133,492,675.20
  4. Step 4: Simplify right side
    12,133,492,675.20x = 220,502,317,092,081,074,176
  5. Step 5: Solve for x
    x = 220,502,317,092,081,074,176/12,133,492,675.20
  6. Step 6: Final answer
    x = 18,173,029,233.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.