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Finding the Fourth Proportional to 11,909,290,666.20, 17,863,935,999.30 and 11,909,290,666.20

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Solution

The fourth proportional to 11,909,290,666.20, 17,863,935,999.30 and 11,909,290,666.20 is: 17,863,935,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909,290,666.20 : 17,863,935,999.30 = 11,909,290,666.20 : x
  2. Step 2: Convert to fraction form
    11,909,290,666.20/17,863,935,999.30 = 11,909,290,666.20/x
  3. Step 3: Cross multiply
    11,909,290,666.20x = 17,863,935,999.30 × 11,909,290,666.20
  4. Step 4: Simplify right side
    11,909,290,666.20x = 212,746,806,258,057,674,752
  5. Step 5: Solve for x
    x = 212,746,806,258,057,674,752/11,909,290,666.20
  6. Step 6: Final answer
    x = 17,863,935,999.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.