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Finding the Fourth Proportional to 48,894,912,077.95, 73,342,368,116.93 and 48,894,912,077.95

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Solution

The fourth proportional to 48,894,912,077.95, 73,342,368,116.93 and 48,894,912,077.95 is: 73,342,368,116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,894,912,077.95 : 73,342,368,116.93 = 48,894,912,077.95 : x
  2. Step 2: Convert to fraction form
    48,894,912,077.95/73,342,368,116.93 = 48,894,912,077.95/x
  3. Step 3: Cross multiply
    48,894,912,077.95x = 73,342,368,116.93 × 48,894,912,077.95
  4. Step 4: Simplify right side
    48,894,912,077.95x = 3,586,068,640,665,935,282,176
  5. Step 5: Solve for x
    x = 3,586,068,640,665,935,282,176/48,894,912,077.95
  6. Step 6: Final answer
    x = 73,342,368,116.93

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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.