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Finding the Fourth Proportional to 78,718,608,101.70, 118,077,912,152.55 and 78,718,608,101.70

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Solution

The fourth proportional to 78,718,608,101.70, 118,077,912,152.55 and 78,718,608,101.70 is: 118,077,912,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,718,608,101.70 : 118,077,912,152.55 = 78,718,608,101.70 : x
  2. Step 2: Convert to fraction form
    78,718,608,101.70/118,077,912,152.55 = 78,718,608,101.70/x
  3. Step 3: Cross multiply
    78,718,608,101.70x = 118,077,912,152.55 × 78,718,608,101.70
  4. Step 4: Simplify right side
    78,718,608,101.70x = 9,294,928,892,203,543,560,192
  5. Step 5: Solve for x
    x = 9,294,928,892,203,543,560,192/78,718,608,101.70
  6. Step 6: Final answer
    x = 118,077,912,152.55

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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.