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Finding the Fourth Proportional to 13,266,363,473,120, 19,899,545,209,680 and 13,266,363,473,120

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Solution

The fourth proportional to 13,266,363,473,120, 19,899,545,209,680 and 13,266,363,473,120 is: 19,899,545,209,680

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266,363,473,120 : 19,899,545,209,680 = 13,266,363,473,120 : x
  2. Step 2: Convert to fraction form
    13,266,363,473,120/19,899,545,209,680 = 13,266,363,473,120/x
  3. Step 3: Cross multiply
    13,266,363,473,120x = 19,899,545,209,680 × 13,266,363,473,120
  4. Step 4: Simplify right side
    13,266,363,473,120x = 263,994,599,701,398,810,550,861,824
  5. Step 5: Solve for x
    x = 263,994,599,701,398,810,550,861,824/13,266,363,473,120
  6. Step 6: Final answer
    x = 19,899,545,209,680

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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.