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Finding the Fourth Proportional to 9,309,852,360.90, 13,066,445,040.30 and 9,309,852,360.90

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Solution

The fourth proportional to 9,309,852,360.90, 13,066,445,040.30 and 9,309,852,360.90 is: 13,066,445,040.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309,852,360.90 : 13,066,445,040.30 = 9,309,852,360.90 : x
  2. Step 2: Convert to fraction form
    9,309,852,360.90/13,066,445,040.30 = 9,309,852,360.90/x
  3. Step 3: Cross multiply
    9,309,852,360.90x = 13,066,445,040.30 × 9,309,852,360.90
  4. Step 4: Simplify right side
    9,309,852,360.90x = 121,646,674,207,007,031,296
  5. Step 5: Solve for x
    x = 121,646,674,207,007,031,296/9,309,852,360.90
  6. Step 6: Final answer
    x = 13,066,445,040.30

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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.