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Finding the Fourth Proportional to 13,186,304,090.70, 18,488,004,816.90 and 13,186,304,090.70

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Solution

The fourth proportional to 13,186,304,090.70, 18,488,004,816.90 and 13,186,304,090.70 is: 18,488,004,816.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186,304,090.70 : 18,488,004,816.90 = 13,186,304,090.70 : x
  2. Step 2: Convert to fraction form
    13,186,304,090.70/18,488,004,816.90 = 13,186,304,090.70/x
  3. Step 3: Cross multiply
    13,186,304,090.70x = 18,488,004,816.90 × 13,186,304,090.70
  4. Step 4: Simplify right side
    13,186,304,090.70x = 243,788,453,545,969,811,456
  5. Step 5: Solve for x
    x = 243,788,453,545,969,811,456/13,186,304,090.70
  6. Step 6: Final answer
    x = 18,488,004,816.90

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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.