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Finding the Fourth Proportional to 2,137,139,794,889.40, 3,205,709,692,334 and 2,137,139,794,889.40

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Solution

The fourth proportional to 2,137,139,794,889.40, 3,205,709,692,334 and 2,137,139,794,889.40 is: 3,205,709,692,334

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137,139,794,889.40 : 3,205,709,692,334 = 2,137,139,794,889.40 : x
  2. Step 2: Convert to fraction form
    2,137,139,794,889.40/3,205,709,692,334 = 2,137,139,794,889.40/x
  3. Step 3: Cross multiply
    2,137,139,794,889.40x = 3,205,709,692,334 × 2,137,139,794,889.40
  4. Step 4: Simplify right side
    2,137,139,794,889.40x = 6,851,049,754,349,646,062,288,896
  5. Step 5: Solve for x
    x = 6,851,049,754,349,646,062,288,896/2,137,139,794,889.40
  6. Step 6: Final answer
    x = 3,205,709,692,334

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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.