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Finding the Fourth Proportional to 102,596,543,998.65, 153,894,815,997.97 and 102,596,543,998.65

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Solution

The fourth proportional to 102,596,543,998.65, 153,894,815,997.97 and 102,596,543,998.65 is: 153,894,815,997.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,596,543,998.65 : 153,894,815,997.97 = 102,596,543,998.65 : x
  2. Step 2: Convert to fraction form
    102,596,543,998.65/153,894,815,997.97 = 102,596,543,998.65/x
  3. Step 3: Cross multiply
    102,596,543,998.65x = 153,894,815,997.97 × 102,596,543,998.65
  4. Step 4: Simplify right side
    102,596,543,998.65x = 15,789,076,260,699,873,738,752
  5. Step 5: Solve for x
    x = 15,789,076,260,699,873,738,752/102,596,543,998.65
  6. Step 6: Final answer
    x = 153,894,815,997.97

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Double scale
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Similar ratio
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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.