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Finding the Fourth Proportional to 73,109,077,377.68, 109,663,616,066.51 and 73,109,077,377.68

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Solution

The fourth proportional to 73,109,077,377.68, 109,663,616,066.51 and 73,109,077,377.68 is: 109,663,616,066.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,109,077,377.68 : 109,663,616,066.51 = 73,109,077,377.68 : x
  2. Step 2: Convert to fraction form
    73,109,077,377.68/109,663,616,066.51 = 73,109,077,377.68/x
  3. Step 3: Cross multiply
    73,109,077,377.68x = 109,663,616,066.51 × 73,109,077,377.68
  4. Step 4: Simplify right side
    73,109,077,377.68x = 8,017,405,792,522,123,345,920
  5. Step 5: Solve for x
    x = 8,017,405,792,522,123,345,920/73,109,077,377.68
  6. Step 6: Final answer
    x = 109,663,616,066.51

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Double scale
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1.5x scale

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.