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Finding the Fourth Proportional to 149,485,826,638.02, 208,888,336,472.73 and 149,485,826,638.02

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Solution

The fourth proportional to 149,485,826,638.02, 208,888,336,472.73 and 149,485,826,638.02 is: 208,888,336,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,485,826,638.02 : 208,888,336,472.73 = 149,485,826,638.02 : x
  2. Step 2: Convert to fraction form
    149,485,826,638.02/208,888,336,472.73 = 149,485,826,638.02/x
  3. Step 3: Cross multiply
    149,485,826,638.02x = 208,888,336,472.73 × 149,485,826,638.02
  4. Step 4: Simplify right side
    149,485,826,638.02x = 31,225,845,652,666,905,001,984
  5. Step 5: Solve for x
    x = 31,225,845,652,666,905,001,984/149,485,826,638.02
  6. Step 6: Final answer
    x = 208,888,336,472.73

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.