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Finding the Fourth Proportional to 934,338,006.02, 1,401,507,009.02 and 934,338,006.02

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Solution

The fourth proportional to 934,338,006.02, 1,401,507,009.02 and 934,338,006.02 is: 1,401,507,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,338,006.02 : 1,401,507,009.02 = 934,338,006.02 : x
  2. Step 2: Convert to fraction form
    934,338,006.02/1,401,507,009.02 = 934,338,006.02/x
  3. Step 3: Cross multiply
    934,338,006.02x = 1,401,507,009.02 × 934,338,006.02
  4. Step 4: Simplify right side
    934,338,006.02x = 1,309,481,264,230,800,896
  5. Step 5: Solve for x
    x = 1,309,481,264,230,800,896/934,338,006.02
  6. Step 6: Final answer
    x = 1,401,507,009.02

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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.