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Finding the Fourth Proportional to 129,848,790,718.95, 194,773,186,078.42 and 129,848,790,718.95

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Solution

The fourth proportional to 129,848,790,718.95, 194,773,186,078.42 and 129,848,790,718.95 is: 194,773,186,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,848,790,718.95 : 194,773,186,078.42 = 129,848,790,718.95 : x
  2. Step 2: Convert to fraction form
    129,848,790,718.95/194,773,186,078.42 = 129,848,790,718.95/x
  3. Step 3: Cross multiply
    129,848,790,718.95x = 194,773,186,078.42 × 129,848,790,718.95
  4. Step 4: Simplify right side
    129,848,790,718.95x = 25,291,062,676,759,865,458,688
  5. Step 5: Solve for x
    x = 25,291,062,676,759,865,458,688/129,848,790,718.95
  6. Step 6: Final answer
    x = 194,773,186,078.42

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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.