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Finding the Fourth Proportional to 73,109,077,381.80, 109,663,616,072.70 and 73,109,077,381.80

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Solution

The fourth proportional to 73,109,077,381.80, 109,663,616,072.70 and 73,109,077,381.80 is: 109,663,616,072.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,109,077,381.80 : 109,663,616,072.70 = 73,109,077,381.80 : x
  2. Step 2: Convert to fraction form
    73,109,077,381.80/109,663,616,072.70 = 73,109,077,381.80/x
  3. Step 3: Cross multiply
    73,109,077,381.80x = 109,663,616,072.70 × 73,109,077,381.80
  4. Step 4: Simplify right side
    73,109,077,381.80x = 8,017,405,793,427,030,802,432
  5. Step 5: Solve for x
    x = 8,017,405,793,427,030,802,432/73,109,077,381.80
  6. Step 6: Final answer
    x = 109,663,616,072.70

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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.