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Finding the Fourth Proportional to 13,901,436,021.60, 20,852,154,032.40 and 13,901,436,021.60

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Solution

The fourth proportional to 13,901,436,021.60, 20,852,154,032.40 and 13,901,436,021.60 is: 20,852,154,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901,436,021.60 : 20,852,154,032.40 = 13,901,436,021.60 : x
  2. Step 2: Convert to fraction form
    13,901,436,021.60/20,852,154,032.40 = 13,901,436,021.60/x
  3. Step 3: Cross multiply
    13,901,436,021.60x = 20,852,154,032.40 × 13,901,436,021.60
  4. Step 4: Simplify right side
    13,901,436,021.60x = 289,874,885,193,957,081,088
  5. Step 5: Solve for x
    x = 289,874,885,193,957,081,088/13,901,436,021.60
  6. Step 6: Final answer
    x = 20,852,154,032.40

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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.