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Finding the Fourth Proportional to 25,043,138,839.20, 35,111,992,178.40 and 25,043,138,839.20

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Solution

The fourth proportional to 25,043,138,839.20, 35,111,992,178.40 and 25,043,138,839.20 is: 35,111,992,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,043,138,839.20 : 35,111,992,178.40 = 25,043,138,839.20 : x
  2. Step 2: Convert to fraction form
    25,043,138,839.20/35,111,992,178.40 = 25,043,138,839.20/x
  3. Step 3: Cross multiply
    25,043,138,839.20x = 35,111,992,178.40 × 25,043,138,839.20
  4. Step 4: Simplify right side
    25,043,138,839.20x = 879,314,495,044,575,690,752
  5. Step 5: Solve for x
    x = 879,314,495,044,575,690,752/25,043,138,839.20
  6. Step 6: Final answer
    x = 35,111,992,178.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.