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Finding the Fourth Proportional to 294,537,940,127.60, 441,806,910,191.40 and 294,537,940,127.60

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Solution

The fourth proportional to 294,537,940,127.60, 441,806,910,191.40 and 294,537,940,127.60 is: 441,806,910,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,537,940,127.60 : 441,806,910,191.40 = 294,537,940,127.60 : x
  2. Step 2: Convert to fraction form
    294,537,940,127.60/441,806,910,191.40 = 294,537,940,127.60/x
  3. Step 3: Cross multiply
    294,537,940,127.60x = 441,806,910,191.40 × 294,537,940,127.60
  4. Step 4: Simplify right side
    294,537,940,127.60x = 130,128,897,261,914,525,007,872
  5. Step 5: Solve for x
    x = 130,128,897,261,914,525,007,872/294,537,940,127.60
  6. Step 6: Final answer
    x = 441,806,910,191.40

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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.