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Finding the Fourth Proportional to 16,884,416,257,072, 25,326,624,385,612 and 16,884,416,257,072

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Solution

The fourth proportional to 16,884,416,257,072, 25,326,624,385,612 and 16,884,416,257,072 is: 25,326,624,385,612

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,884,416,257,072 : 25,326,624,385,612 = 16,884,416,257,072 : x
  2. Step 2: Convert to fraction form
    16,884,416,257,072/25,326,624,385,612 = 16,884,416,257,072/x
  3. Step 3: Cross multiply
    16,884,416,257,072x = 25,326,624,385,612 × 16,884,416,257,072
  4. Step 4: Simplify right side
    16,884,416,257,072x = 427,625,268,513,183,431,642,841,088
  5. Step 5: Solve for x
    x = 427,625,268,513,183,431,642,841,088/16,884,416,257,072
  6. Step 6: Final answer
    x = 25,326,624,385,612

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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.