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Finding the Fourth Proportional to 13,440,069,009.30, 18,772,560,966.30 and 13,440,069,009.30

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Solution

The fourth proportional to 13,440,069,009.30, 18,772,560,966.30 and 13,440,069,009.30 is: 18,772,560,966.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,440,069,009.30 : 18,772,560,966.30 = 13,440,069,009.30 : x
  2. Step 2: Convert to fraction form
    13,440,069,009.30/18,772,560,966.30 = 13,440,069,009.30/x
  3. Step 3: Cross multiply
    13,440,069,009.30x = 18,772,560,966.30 × 13,440,069,009.30
  4. Step 4: Simplify right side
    13,440,069,009.30x = 252,304,514,868,363,460,608
  5. Step 5: Solve for x
    x = 252,304,514,868,363,460,608/13,440,069,009.30
  6. Step 6: Final answer
    x = 18,772,560,966.30

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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.