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Finding the Fourth Proportional to 52,164,094,809.80, 78,246,142,214.70 and 52,164,094,809.80

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Solution

The fourth proportional to 52,164,094,809.80, 78,246,142,214.70 and 52,164,094,809.80 is: 78,246,142,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,164,094,809.80 : 78,246,142,214.70 = 52,164,094,809.80 : x
  2. Step 2: Convert to fraction form
    52,164,094,809.80/78,246,142,214.70 = 52,164,094,809.80/x
  3. Step 3: Cross multiply
    52,164,094,809.80x = 78,246,142,214.70 × 52,164,094,809.80
  4. Step 4: Simplify right side
    52,164,094,809.80x = 4,081,639,180,988,705,144,832
  5. Step 5: Solve for x
    x = 4,081,639,180,988,705,144,832/52,164,094,809.80
  6. Step 6: Final answer
    x = 78,246,142,214.70

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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.