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Finding the Fourth Proportional to 132,017,316,355.73, 198,025,974,533.58 and 132,017,316,355.73

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Solution

The fourth proportional to 132,017,316,355.73, 198,025,974,533.58 and 132,017,316,355.73 is: 198,025,974,533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,017,316,355.73 : 198,025,974,533.58 = 132,017,316,355.73 : x
  2. Step 2: Convert to fraction form
    132,017,316,355.73/198,025,974,533.58 = 132,017,316,355.73/x
  3. Step 3: Cross multiply
    132,017,316,355.73x = 198,025,974,533.58 × 132,017,316,355.73
  4. Step 4: Simplify right side
    132,017,316,355.73x = 26,142,857,726,651,361,394,688
  5. Step 5: Solve for x
    x = 26,142,857,726,651,361,394,688/132,017,316,355.73
  6. Step 6: Final answer
    x = 198,025,974,533.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.