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Finding the Fourth Proportional to 97,609,653,211.20, 146,414,479,816.80 and 97,609,653,211.20

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Solution

The fourth proportional to 97,609,653,211.20, 146,414,479,816.80 and 97,609,653,211.20 is: 146,414,479,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,609,653,211.20 : 146,414,479,816.80 = 97,609,653,211.20 : x
  2. Step 2: Convert to fraction form
    97,609,653,211.20/146,414,479,816.80 = 97,609,653,211.20/x
  3. Step 3: Cross multiply
    97,609,653,211.20x = 146,414,479,816.80 × 97,609,653,211.20
  4. Step 4: Simplify right side
    97,609,653,211.20x = 14,291,466,600,016,087,351,296
  5. Step 5: Solve for x
    x = 14,291,466,600,016,087,351,296/97,609,653,211.20
  6. Step 6: Final answer
    x = 146,414,479,816.80

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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.