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Finding the Fourth Proportional to 149,485,826,637.70, 208,888,336,472.30 and 149,485,826,637.70

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Solution

The fourth proportional to 149,485,826,637.70, 208,888,336,472.30 and 149,485,826,637.70 is: 208,888,336,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,485,826,637.70 : 208,888,336,472.30 = 149,485,826,637.70 : x
  2. Step 2: Convert to fraction form
    149,485,826,637.70/208,888,336,472.30 = 149,485,826,637.70/x
  3. Step 3: Cross multiply
    149,485,826,637.70x = 208,888,336,472.30 × 149,485,826,637.70
  4. Step 4: Simplify right side
    149,485,826,637.70x = 31,225,845,652,535,782,670,336
  5. Step 5: Solve for x
    x = 31,225,845,652,535,782,670,336/149,485,826,637.70
  6. Step 6: Final answer
    x = 208,888,336,472.30

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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.