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Finding the Fourth Proportional to 96,545,641,969.30, 144,818,462,953.95 and 96,545,641,969.30

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Solution

The fourth proportional to 96,545,641,969.30, 144,818,462,953.95 and 96,545,641,969.30 is: 144,818,462,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,545,641,969.30 : 144,818,462,953.95 = 96,545,641,969.30 : x
  2. Step 2: Convert to fraction form
    96,545,641,969.30/144,818,462,953.95 = 96,545,641,969.30/x
  3. Step 3: Cross multiply
    96,545,641,969.30x = 144,818,462,953.95 × 96,545,641,969.30
  4. Step 4: Simplify right side
    96,545,641,969.30x = 13,981,591,474,896,394,780,672
  5. Step 5: Solve for x
    x = 13,981,591,474,896,394,780,672/96,545,641,969.30
  6. Step 6: Final answer
    x = 144,818,462,953.95

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1.5x scale

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.