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Finding the Fourth Proportional to 12,172,078,605.60, 18,258,117,908.40 and 12,172,078,605.60

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Solution

The fourth proportional to 12,172,078,605.60, 18,258,117,908.40 and 12,172,078,605.60 is: 18,258,117,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172,078,605.60 : 18,258,117,908.40 = 12,172,078,605.60 : x
  2. Step 2: Convert to fraction form
    12,172,078,605.60/18,258,117,908.40 = 12,172,078,605.60/x
  3. Step 3: Cross multiply
    12,172,078,605.60x = 18,258,117,908.40 × 12,172,078,605.60
  4. Step 4: Simplify right side
    12,172,078,605.60x = 222,239,246,371,357,884,416
  5. Step 5: Solve for x
    x = 222,239,246,371,357,884,416/12,172,078,605.60
  6. Step 6: Final answer
    x = 18,258,117,908.40

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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.