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Finding the Fourth Proportional to 96,536,772,431.70, 144,805,158,647.55 and 96,536,772,431.70

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Solution

The fourth proportional to 96,536,772,431.70, 144,805,158,647.55 and 96,536,772,431.70 is: 144,805,158,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,536,772,431.70 : 144,805,158,647.55 = 96,536,772,431.70 : x
  2. Step 2: Convert to fraction form
    96,536,772,431.70/144,805,158,647.55 = 96,536,772,431.70/x
  3. Step 3: Cross multiply
    96,536,772,431.70x = 144,805,158,647.55 × 96,536,772,431.70
  4. Step 4: Simplify right side
    96,536,772,431.70x = 13,979,022,647,294,748,000,256
  5. Step 5: Solve for x
    x = 13,979,022,647,294,748,000,256/96,536,772,431.70
  6. Step 6: Final answer
    x = 144,805,158,647.55

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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.